How Do You Use the Maclaurin Series to Evaluate the Integral of sin(3x^2)?

[JayoxD]

Homework Statement

Assume that sin(x) equals its Maclaurin series for all x.
Use the Maclaurin series for sin(3 x^2) to evaluate the integral
int_0^{0.72} sin(3 x^2) dx.
Your answer will be an infinite series. Use the first two terms to estimate its value.

Homework Equations

The Attempt at a Solution

I got

((-1)^n(3^(2n+1)0.72^(4n+3))/((2n+1)!(4n+3))

 

[Mark44]

What do you get for your Maclaurin series for sin(3x^2)?