Evaluate the following integral using integration by parts:

To apply the integration by parts formula we let:

Then we use integration by parts

Now, we use integration by parts again to evaluate the integral of . Let

Then we have

Putting this back into the formula we had above, we then obtain

I think the last line should be 2xsinx + 2cosx – x^2 cosx + C since we carry the -x^2cosx from the first part

la ultima es cos x+c