# Integration by parts

Not what you're looking for? Search our solutions OR ask your own Custom question.

34.8 (a) Use integration by parts to evaluate

1

∫ xּarctan x dx.

0

Hint: let u(x) = arctan x, so that u′(x) = 1/(1+x2).

(b) If you used v(x) = x2/2 in part (a), do the computation again with v(x) = (x2+1)/2. This interesting example is taken from J. L. Borman[6].

Â© BrainMass Inc. brainmass.com November 24, 2021, 11:27 am ad1c9bdddfhttps://brainmass.com/math/integrals/integration-parts-31263

#### Solution Preview

Please see the attachment.

Evaluate

We use two ways to do the ...

#### Solution Summary

This shows how to use integration by parts with an arctan integral.

$2.49