Question

what is integral of sin wt^2 from 0 to T

Answer 1

It's not an elementary function, unless you think the Fresnel S function is elementary.

Answer 2

\[
S(T) = \int_0^T\sin(t^2)\;dt
\]

Answer 3

i want to know how it can be solved

Answer 4

What do you mean by solved?

Answer 5

Is it \(\sin (wt^2)\) or \(\sin^2(wt)\)

Answer 6

This might help - everything you need to evaluate it - http://functions.wolfram.com/GammaBetaErf/FresnelS/