please help to solve this

[worthy knot]

i'll send a solution your way

[vocal thistle]

it is divergent since it is equivalent to 1/x^(3/2) as x->0.

[low scroll]

It is also undefined as the function has an asymptote at

$x=\frac{\pi}{4}$ and you can't integrate across a discontinuity.

[tardy solstice]

Jay