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- La ecuación:
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Ecuación 8*x-3*(2*x+1)=2*x+4
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Ecuación x^3=27
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Ecuación 1+sin(x)=0
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Ecuación 2*x^2+6*x+9=
- Expresar {x} en función de y en la ecuación:
- 20*x+6*y=8
- 7*x-19*y=-8
- -11*x+10*y=-9
- 6*x-2*y=20
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Expresiones idénticas
- arcsin(x)*y= dos ^(x+y)- cinco
- arc seno de (x) multiplicar por y es igual a 2 en el grado (x más y) menos 5
- arc seno de (x) multiplicar por y es igual a dos en el grado (x más y) menos cinco
- arcsin(x)*y=2(x+y)-5
- arcsinx*y=2x+y-5
- arcsin(x)y=2^(x+y)-5
- arcsin(x)y=2(x+y)-5
- arcsinxy=2x+y-5
- arcsinxy=2^x+y-5
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Expresiones semejantes
- z=(y*y)/(3*x)+arcsin(x*y)
- arcsin(x*y)=arcsin(x+y)
- arcsin(x)*y=2^(x-y)-5
- arcsin(x)*y=2^(x+y)+5
- z=arcsin*(xy)^0.5
- z=e^(arcsin(xy-1))
- arcsinx*y=2^(x+y)-5
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Expresiones con funciones
- arcsin
- arcsin3x
- arcsin(x)-pi/2*x^(1/3)=0
- arcsinx=2arctgx
- arcsin(2x+y^2)
- arcsin(y)=-e^(x^2)
arcsin(x)*y=2^(x+y)-5 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
x + y asin(x)*y = 2 - 5
$$y \operatorname{asin}{\left(x \right)} = 2^{x + y} - 5$$
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)
$$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 \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 \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 \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)
$$\frac{i \left(\left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)}\right) - \left(\operatorname{re}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} + \log{\left(32 \right)}\right) \operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)} - \operatorname{im}{\left(W\left(- \frac{e^{\frac{\left(x \operatorname{asin}{\left(x \right)} - 5\right) \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}} \log{\left(2 \right)}}{\operatorname{asin}{\left(x \right)}}\right) \operatorname{asin}{\left(x \right)}\right)} \operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}}{\left(\left(\operatorname{re}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(x \right)}\right)}\right)^{2}\right) \log{\left(2 \right)}}$$
(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))