Stuck on trying to find integral of a mixture of trigonometric functions.

Thank so much for all of the help thus far on these problems. This forum has been a life-saver.

So, I have another one (Clapping)...

So, first things first, here is the problem:

__Find the general indefinite integral.__

http://www.churchleadership.com/temp/Problem3.png

Here are the steps that I have taken so far:

http://www.churchleadership.com/temp/Solution3.png

My problem is that I still have the second http://www.churchleadership.com/temp/Solution3a.pngthat I haven’t dealt with. At this point, I am not sure what to do.

Any ideas?

Thank you for your time.

Regards,

Christopher K.