- #1
lxman
- 77
- 0
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?