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## Homework Statement

Assume that sin(x) equals its Maclaurin series for all x. Use the first two terms of the Maclaurin series for sin(7x^2) to approximate the integral:

[tex]\int_{0}^{0.77}sin(7x^{2})\ dx[/tex]

## The Attempt at a Solution

If I understand correctly, a Maclaurin series is just a Taylor series centered at 0. Therefore, my first two terms would be:

[tex]sin(7(0)^{2})[/tex]

and

[tex]14(0)^{2}cos(7(0)^{2})[/tex]

I feel like I'm getting off on the wrong foot right away.

Help anyone?