Double Integral Problem: 0<X<1, sqrt(X) < y < 1, cos (y^3) dy dx

[Gabbyf]

Hi everyone! I am working on a really tough double integral and can seem to even scratch the surface. If you could please show me step by step how you solve this, that would be great! Thanks!

Double Integral

0<X<1
sqrt(X) < y < 1

cos (y^3) dy dx

PLEASE NOTE THIS IS NOT cos(y)^3

 

[Deleted member 4993]

Hi everyone! I am working on a really tough double integral and can seem to even scratch the surface. If you could please show me step by step how you solve this, that would be great! Thanks!

Double Integral

0<X<1
sqrt(X) < y < 1

cos (y^3) dy dx

PLEASE NOTE THIS IS NOT cos(y)^3

\(\displaystyle \displaystyle{\int cos(\theta^3)d\theta}\) will involve gamma-function in the answer. If this is a homework problem - I think you should consult the instructor for guidance.