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u=e^(x^3*y)*sin(z^2) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
      3          
     x *y    / 2\
u = E    *sin\z /
$$u = e^{x^{3} y} \sin{\left(z^{2} \right)}$$
Gráfica
Respuesta rápida [src]
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           /                          2                           /     /   /    /       3\\         /    /       3\\\\         /                          2                           /     /   /    /       3\\         /    /       3\\\\
          /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||        /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||
       4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|     4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|
z1 = - \/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *cos|---------------------------------------------------| - I*\/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *sin|---------------------------------------------------|
                                                                  \                         2                         /                                                                \                         2                         /
$$z_{1} = - i \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}$$
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        /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||        /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||
     4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|     4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|
z2 = \/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *cos|---------------------------------------------------| + I*\/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *sin|---------------------------------------------------|
                                                                \                         2                         /                                                                \                         2                         /
$$z_{2} = i \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}$$
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          /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||        /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||
       4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|     4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|
z3 = - \/   im \asin\u*e     // + re \asin\u*e     // *cos|---------------------------------------------| - I*\/   im \asin\u*e     // + re \asin\u*e     // *sin|---------------------------------------------|
                                                          \                      2                      /                                                        \                      2                      /
$$z_{3} = - i \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}$$
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        /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||        /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||
     4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|     4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|
z4 = \/   im \asin\u*e     // + re \asin\u*e     // *cos|---------------------------------------------| + I*\/   im \asin\u*e     // + re \asin\u*e     // *sin|---------------------------------------------|
                                                        \                      2                      /                                                        \                      2                      /
$$z_{4} = i \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}$$
z4 = i*(re(asin(u*exp(-x^3*y)))^2 + im(asin(u*exp(-x^3*y)))^2)^(1/4)*sin(atan2(im(asin(u*exp(-x^3*y)), re(asin(u*exp(-x^3*y))))/2) + (re(asin(u*exp(-x^3*y)))^2 + im(asin(u*exp(-x^3*y)))^2)^(1/4)*cos(atan2(im(asin(u*exp(-x^3*y))), re(asin(u*exp(-x^3*y))))/2))
Suma y producto de raíces [src]
suma
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      /                          2                           /     /   /    /       3\\         /    /       3\\\\         /                          2                           /     /   /    /       3\\         /    /       3\\\\       /                          2                           /     /   /    /       3\\         /    /       3\\\\         /                          2                           /     /   /    /       3\\         /    /       3\\\\         ___________________________________________    /     /  /    /       3\\    /    /       3\\\\         ___________________________________________    /     /  /    /       3\\    /    /       3\\\\       ___________________________________________    /     /  /    /       3\\    /    /       3\\\\         ___________________________________________    /     /  /    /       3\\    /    /       3\\\\
     /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||        /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||      /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||        /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||        /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||        /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||      /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||        /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||
  4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|     4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|   4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|     4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|     4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|     4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|   4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|     4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|
- \/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *cos|---------------------------------------------------| - I*\/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *sin|---------------------------------------------------| + \/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *cos|---------------------------------------------------| + I*\/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *sin|---------------------------------------------------| + - \/   im \asin\u*e     // + re \asin\u*e     // *cos|---------------------------------------------| - I*\/   im \asin\u*e     // + re \asin\u*e     // *sin|---------------------------------------------| + \/   im \asin\u*e     // + re \asin\u*e     // *cos|---------------------------------------------| + I*\/   im \asin\u*e     // + re \asin\u*e     // *sin|---------------------------------------------|
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$$\left(i \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}\right)\right)\right)$$
=
0
$$0$$
producto
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|     /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||        /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||| |   /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||        /  /       /    /       3\\\       /    /       3\\     |     |   |    |   -y*x ||         |    |   -y*x ||||| |     /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||        /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||| |   /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x ||||        /    /    /       3\\      /    /       3\\     |     |  |    |   -y*x ||    |    |   -y*x |||||
|  4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|     4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|| |4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|     4 /   |       |    |   -y*x |||      2|    |   -y*x ||     |atan2\-im\asin\u*e     //, pi - re\asin\u*e     ///|| |  4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|     4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|| |4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///|     4 /    2|    |   -y*x ||     2|    |   -y*x ||     |atan2\im\asin\u*e     //, re\asin\u*e     ///||
|- \/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *cos|---------------------------------------------------| - I*\/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *sin|---------------------------------------------------||*|\/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *cos|---------------------------------------------------| + I*\/    \pi - re\asin\u*e     ///  + im \asin\u*e     // *sin|---------------------------------------------------||*|- \/   im \asin\u*e     // + re \asin\u*e     // *cos|---------------------------------------------| - I*\/   im \asin\u*e     // + re \asin\u*e     // *sin|---------------------------------------------||*|\/   im \asin\u*e     // + re \asin\u*e     // *cos|---------------------------------------------| + I*\/   im \asin\u*e     // + re \asin\u*e     // *sin|---------------------------------------------||
\                                                             \                         2                         /                                                                \                         2                         // \                                                           \                         2                         /                                                                \                         2                         // \                                                     \                      2                      /                                                        \                      2                      // \                                                   \                      2                      /                                                        \                      2                      //
$$\left(- i \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}\right) \left(- i \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}{2} \right)}\right)$$
=
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   /  /        /    /       3\\\       /    /       3\\     /    /    /       3\\      /    /       3\\          |   |    |   -y*x ||         |    |   -y*x |||          |  |    |   -y*x ||    |    |   -y*x |||
  /   |        |    |   -y*x |||      2|    |   -y*x ||    /    2|    |   -y*x ||     2|    |   -y*x ||   I*atan2\-im\asin\u*e     //, pi - re\asin\u*e     /// + I*atan2\im\asin\u*e     //, re\asin\u*e     ///
\/    \-pi + re\asin\u*e     ///  + im \asin\u*e     // *\/   im \asin\u*e     // + re \asin\u*e     // *e                                                                                                       
$$\sqrt{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} - \pi\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} \sqrt{\left(\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(- \operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\pi - \operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)} + i \operatorname{atan_{2}}{\left(\operatorname{im}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)},\operatorname{re}{\left(\operatorname{asin}{\left(u e^{- x^{3} y} \right)}\right)} \right)}}$$
sqrt((-pi + re(asin(u*exp(-y*x^3))))^2 + im(asin(u*exp(-y*x^3)))^2)*sqrt(im(asin(u*exp(-y*x^3)))^2 + re(asin(u*exp(-y*x^3)))^2)*exp(i*atan2(-im(asin(u*exp(-y*x^3))), pi - re(asin(u*exp(-y*x^3)))) + i*atan2(im(asin(u*exp(-y*x^3))), re(asin(u*exp(-y*x^3)))))