I have been having a problem trying to calculate this integral:

$\displaystyle \int{\frac {{x}^{3}}{ \left( \sin \left( 1/2\,\pi\,{x}^{2} \right)

\right) ^{3}}}

$

and the function:

$\displaystyle \int{\frac {{x}^{5}}{ \left( \sin \left( 1/2\,\pi\,{x}^{2} \right)

\right) ^{5}}}

$

If someone could give me a start on it that would be amazing!

Thank you in advance

MT