Thread: Integration

Stuck on trying to integrate

(4 + 3sec(2x))^2

If we expand it out, we get:



Now, integrate term by term and it ain't bad.

Originally Posted by galactus

If we expand it out, we get:



Now, integrate term by term and it ain't bad.

Problem is I don't know the integral of 24sec(2x) I know sec^2(x) becomes tan(x). Thats where I was getting stuck, I put the full equation out so that I could check if I had expanded correctly.

Originally Posted by Beard

Problem is I don't know the integral of 24sec(2x) I know sec^2(x) becomes tan(x). Thats where I was getting stuck, I put the full equation out so that I could check if I had expanded correctly.

The integral of the secant of x is a tricky one that is hard to see if you don't know it. Consider and make a u-substitution. Hint:the answer contains a natural log.