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arcsin(x)*y=2^(x+y)-5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
             x + y    
asin(x)*y = 2      - 5
yasin⁡(x)=2x+y−5y \operatorname{asin}{\left(x \right)} = 2^{x + y} - 5
Simplificar
Gráfica
Respuesta rápida [src] 
       //            / /  (-5 + x*asin(x))*log(2)        \        \\                 / /  (-5 + x*asin(x))*log(2)        \        \            \   /            / /  (-5 + x*asin(x))*log(2)        \        \\                 / /  (-5 + x*asin(x))*log(2)        \        \            
       ||            | |  -----------------------        |        ||                 | |  -----------------------        |        |            |   |            | |  -----------------------        |        ||                 | |  -----------------------        |        |            
       ||            | |          asin(x)                |        ||                 | |          asin(x)                |        |            |   |            | |          asin(x)                |        ||                 | |          asin(x)                |        |            
       ||            | |-e                       *log(2) |        ||                 | |-e                       *log(2) |        |            |   |            | |-e                       *log(2) |        ||                 | |-e                       *log(2) |        |            
       ||log(32) + re|W|---------------------------------|*asin(x)||*im(asin(x))   im|W|---------------------------------|*asin(x)|*re(asin(x))|   |log(32) + re|W|---------------------------------|*asin(x)||*re(asin(x))   im|W|---------------------------------|*asin(x)|*im(asin(x))
       |\            \ \             asin(x)             /        //                 \ \             asin(x)             /        /            |   \            \ \             asin(x)             /        //                 \ \             asin(x)             /        /            
y1 = I*|------------------------------------------------------------------------ - ------------------------------------------------------------| - ------------------------------------------------------------------------ - ------------------------------------------------------------
       |                  /  2              2         \                                        /  2              2         \                   |                     /  2              2         \                                        /  2              2         \                   
       \                  \im (asin(x)) + re (asin(x))/*log(2)                                 \im (asin(x)) + re (asin(x))/*log(2)            /                     \im (asin(x)) + re (asin(x))/*log(2)                                 \im (asin(x)) + re (asin(x))/*log(2)
y1=i((re⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))+log⁡(32))im⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)−re⁡(asin⁡(x))im⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2))−(re⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))+log⁡(32))re⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)−im⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))im⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)y_{1} = i \left(\frac{\left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} - \frac{\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}}\right) - \frac{\left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} - \frac{\operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} 
y1 = i*((re(LambertW(-exp((x*asin(x) - 5)*log(2)/asin(x))*log(2)/asin(x))*asin(x)) + log(32))*im(asin(x))/((re(asin(x))^2 + im(asin(x))^2)*log(2)) - re(asin(x))*im(LambertW(-exp((x*asin(x) - 5)*log(2)/asin(x))*log(2)/asin(x))*asin(x))/((re(asin(x))^2 + im(asin(x))^2)*log(2))) - (re(LambertW(-exp((x*asin(x) - 5)*log(2)/asin(x))*log(2)/asin(x))*asin(x)) + log(32))*re(asin(x))/((re(asin(x))^2 + im(asin(x))^2)*log(2)) - im(LambertW(-exp((x*asin(x) - 5)*log(2)/asin(x))*log(2)/asin(x))*asin(x))*im(asin(x))/((re(asin(x))^2 + im(asin(x))^2)*log(2))
Suma y producto de raíces [src] 
suma
  //            / /  (-5 + x*asin(x))*log(2)        \        \\                 / /  (-5 + x*asin(x))*log(2)        \        \            \   /            / /  (-5 + x*asin(x))*log(2)        \        \\                 / /  (-5 + x*asin(x))*log(2)        \        \            
  ||            | |  -----------------------        |        ||                 | |  -----------------------        |        |            |   |            | |  -----------------------        |        ||                 | |  -----------------------        |        |            
  ||            | |          asin(x)                |        ||                 | |          asin(x)                |        |            |   |            | |          asin(x)                |        ||                 | |          asin(x)                |        |            
  ||            | |-e                       *log(2) |        ||                 | |-e                       *log(2) |        |            |   |            | |-e                       *log(2) |        ||                 | |-e                       *log(2) |        |            
  ||log(32) + re|W|---------------------------------|*asin(x)||*im(asin(x))   im|W|---------------------------------|*asin(x)|*re(asin(x))|   |log(32) + re|W|---------------------------------|*asin(x)||*re(asin(x))   im|W|---------------------------------|*asin(x)|*im(asin(x))
  |\            \ \             asin(x)             /        //                 \ \             asin(x)             /        /            |   \            \ \             asin(x)             /        //                 \ \             asin(x)             /        /            
I*|------------------------------------------------------------------------ - ------------------------------------------------------------| - ------------------------------------------------------------------------ - ------------------------------------------------------------
  |                  /  2              2         \                                        /  2              2         \                   |                     /  2              2         \                                        /  2              2         \                   
  \                  \im (asin(x)) + re (asin(x))/*log(2)                                 \im (asin(x)) + re (asin(x))/*log(2)            /                     \im (asin(x)) + re (asin(x))/*log(2)                                 \im (asin(x)) + re (asin(x))/*log(2)
i((re⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))+log⁡(32))im⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)−re⁡(asin⁡(x))im⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2))−(re⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))+log⁡(32))re⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)−im⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))im⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)i \left(\frac{\left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} - \frac{\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}}\right) - \frac{\left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} - \frac{\operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} 
=
  //            / /  (-5 + x*asin(x))*log(2)        \        \\                 / /  (-5 + x*asin(x))*log(2)        \        \            \   /            / /  (-5 + x*asin(x))*log(2)        \        \\                 / /  (-5 + x*asin(x))*log(2)        \        \            
  ||            | |  -----------------------        |        ||                 | |  -----------------------        |        |            |   |            | |  -----------------------        |        ||                 | |  -----------------------        |        |            
  ||            | |          asin(x)                |        ||                 | |          asin(x)                |        |            |   |            | |          asin(x)                |        ||                 | |          asin(x)                |        |            
  ||            | |-e                       *log(2) |        ||                 | |-e                       *log(2) |        |            |   |            | |-e                       *log(2) |        ||                 | |-e                       *log(2) |        |            
  ||log(32) + re|W|---------------------------------|*asin(x)||*im(asin(x))   im|W|---------------------------------|*asin(x)|*re(asin(x))|   |log(32) + re|W|---------------------------------|*asin(x)||*re(asin(x))   im|W|---------------------------------|*asin(x)|*im(asin(x))
  |\            \ \             asin(x)             /        //                 \ \             asin(x)             /        /            |   \            \ \             asin(x)             /        //                 \ \             asin(x)             /        /            
I*|------------------------------------------------------------------------ - ------------------------------------------------------------| - ------------------------------------------------------------------------ - ------------------------------------------------------------
  |                  /  2              2         \                                        /  2              2         \                   |                     /  2              2         \                                        /  2              2         \                   
  \                  \im (asin(x)) + re (asin(x))/*log(2)                                 \im (asin(x)) + re (asin(x))/*log(2)            /                     \im (asin(x)) + re (asin(x))/*log(2)                                 \im (asin(x)) + re (asin(x))/*log(2)
i((re⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))+log⁡(32))im⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)−re⁡(asin⁡(x))im⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2))−(re⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))+log⁡(32))re⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)−im⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))im⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)i \left(\frac{\left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} - \frac{\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}}\right) - \frac{\left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} - \frac{\operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} 
producto
  //            / /  (-5 + x*asin(x))*log(2)        \        \\                 / /  (-5 + x*asin(x))*log(2)        \        \            \   /            / /  (-5 + x*asin(x))*log(2)        \        \\                 / /  (-5 + x*asin(x))*log(2)        \        \            
  ||            | |  -----------------------        |        ||                 | |  -----------------------        |        |            |   |            | |  -----------------------        |        ||                 | |  -----------------------        |        |            
  ||            | |          asin(x)                |        ||                 | |          asin(x)                |        |            |   |            | |          asin(x)                |        ||                 | |          asin(x)                |        |            
  ||            | |-e                       *log(2) |        ||                 | |-e                       *log(2) |        |            |   |            | |-e                       *log(2) |        ||                 | |-e                       *log(2) |        |            
  ||log(32) + re|W|---------------------------------|*asin(x)||*im(asin(x))   im|W|---------------------------------|*asin(x)|*re(asin(x))|   |log(32) + re|W|---------------------------------|*asin(x)||*re(asin(x))   im|W|---------------------------------|*asin(x)|*im(asin(x))
  |\            \ \             asin(x)             /        //                 \ \             asin(x)             /        /            |   \            \ \             asin(x)             /        //                 \ \             asin(x)             /        /            
I*|------------------------------------------------------------------------ - ------------------------------------------------------------| - ------------------------------------------------------------------------ - ------------------------------------------------------------
  |                  /  2              2         \                                        /  2              2         \                   |                     /  2              2         \                                        /  2              2         \                   
  \                  \im (asin(x)) + re (asin(x))/*log(2)                                 \im (asin(x)) + re (asin(x))/*log(2)            /                     \im (asin(x)) + re (asin(x))/*log(2)                                 \im (asin(x)) + re (asin(x))/*log(2)
i((re⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))+log⁡(32))im⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)−re⁡(asin⁡(x))im⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2))−(re⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))+log⁡(32))re⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)−im⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))im⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)i \left(\frac{\left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} - \frac{\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}}\right) - \frac{\left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} - \frac{\operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} 
=
  //            / /  (-5 + x*asin(x))*log(2)        \        \\                 / /  (-5 + x*asin(x))*log(2)        \        \            \   /            / /  (-5 + x*asin(x))*log(2)        \        \\                 / /  (-5 + x*asin(x))*log(2)        \        \            
  ||            | |  -----------------------        |        ||                 | |  -----------------------        |        |            |   |            | |  -----------------------        |        ||                 | |  -----------------------        |        |            
  ||            | |          asin(x)                |        ||                 | |          asin(x)                |        |            |   |            | |          asin(x)                |        ||                 | |          asin(x)                |        |            
  ||            | |-e                       *log(2) |        ||                 | |-e                       *log(2) |        |            |   |            | |-e                       *log(2) |        ||                 | |-e                       *log(2) |        |            
I*||log(32) + re|W|---------------------------------|*asin(x)||*im(asin(x)) - im|W|---------------------------------|*asin(x)|*re(asin(x))| - |log(32) + re|W|---------------------------------|*asin(x)||*re(asin(x)) - im|W|---------------------------------|*asin(x)|*im(asin(x))
  \\            \ \             asin(x)             /        //                 \ \             asin(x)             /        /            /   \            \ \             asin(x)             /        //                 \ \             asin(x)             /        /            
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                         /  2              2         \                                                                                                                               
                                                                                                                         \im (asin(x)) + re (asin(x))/*log(2)
i((re⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))+log⁡(32))im⁡(asin⁡(x))−re⁡(asin⁡(x))im⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x)))−(re⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))+log⁡(32))re⁡(asin⁡(x))−im⁡(W(−e(xasin⁡(x)−5)log⁡(2)asin⁡(x)log⁡(2)asin⁡(x))asin⁡(x))im⁡(asin⁡(x))((re⁡(asin⁡(x)))2+(im⁡(asin⁡(x)))2)log⁡(2)\frac{i \left(\left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)}\right) - \left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)} - \operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}} 
(i*((log(32) + re(LambertW(-exp((-5 + x*asin(x))*log(2)/asin(x))*log(2)/asin(x))*asin(x)))*im(asin(x)) - im(LambertW(-exp((-5 + x*asin(x))*log(2)/asin(x))*log(2)/asin(x))*asin(x))*re(asin(x))) - (log(32) + re(LambertW(-exp((-5 + x*asin(x))*log(2)/asin(x))*log(2)/asin(x))*asin(x)))*re(asin(x)) - im(LambertW(-exp((-5 + x*asin(x))*log(2)/asin(x))*log(2)/asin(x))*asin(x))*im(asin(x)))/((im(asin(x))^2 + re(asin(x))^2)*log(2))
    © Sr Examen – Калькулятор