I'm currently studying integration in preperation for an end of module test. So far it's been going well however, I'm finding the section on Integration of trigonometric functions a bit perplexing! The examples in my notes I can follow quite easily and I understand them, and I have got some books from the library and what's written in them I can understand when I follow them too. When it comes to doing questions by myself though, I'm finding it a bit tough!
The first question is:
Integrate the following:
[integral] sin^4x cosx dx,
I know that you have to use the identity - sin^2 x = 1/2(1-cos(2x)). That's easy to do if it's to the power of 2 however as this is a power of 4, I'm not quite sure what to do with it :/
I did try the question and the answer I got was just way way way off the mark, the actual answer is 1/2 sin^5 x + C ........
I wonder if anyone could guide me as to what I am supposed to do with it