Thread: Trig Integrals

can I have some help with this problem:

integrate x^2 sin x^3 dx from 0 to 1

although I do not know that it equals 0.153233, that just what wolfram says


the integral should equal:


but now I am not sure how to use the 'from 0 to 1' in this. I thought that it would be something like:




could someone please help clarify?

Forget the bounds for now, consider only the indefinite integral.

We may substitute , in which . You should be able to substitute and evaluate the new integral. Remember to back-substitute and then substitute the bounds.