# How do you use a Power Series to estimate the integral #int_0^0.01sin(x^2)dx# ?

##### 1 Answer

Oct 1, 2014

Assuming that you know that the power series for

then we can answer this fairly quickly. If not, perhaps that can be a separate question!

So, if:

Then:

Which can be re-written as:

So then:

When we plug in zero for *x* out to however many terms you want.

Hope this helps!