### Home > CALC > Chapter 12 > Lesson 12.1.4 > Problem 12-51

12-51.

Integrate each function.

All of these integrals require the use of integration by parts.

Note: The following steps ignore the bounds of integration. Be sure to apply them at the end.

Letand.

Thenand.For the integral:

Letand.

Thenand.You can now integrate the integral that is left without using integration by parts.

Use the same process outlined in part (a), but use

instead of.

Let

and.

Let

and.

Now solve this equation for the original integral.