I would really appreciate if someone helped me with this problem.
It's an extended problem in calculus, involving integrals, integral division etc.
Here it is:

The Fresnel Function S is defined by the integral

S(x)= ∫ sin(πt^2 / 2) dt.

a) Graph the function y=sin(πx^2 / 2) on the interval [0 , 3].

b)Use the graph in part (a) to sketch the graph of S on the intervan [0 , 3].

c) Locate all relative extrema of S on the interval (0 , 3).

d) Locate all points of inflection of S on the interval (0 , 3).

I know this seems very hard to me but please try to help me, i need the answer within the next hours...thank you.