Simple Integration

[ShaunB]

I separated an integration equation into 3 integration equations. I solved 2 parts, but I can't figure out the integral of:

sec(x)*cot(x)

I know I have to do it with substituting trigonometric identities, but I'm stuck. I'd really appreciate the help. This seems like a cool help forum, thanks for your time.

 

[ChaoticLlama]

sec(x) = 1/cos(x)

and

cot(x) = cos(x)/sin(x)

Therefore, you can multiply those together to get the new integral:

∫csc(x) dx

can you take it from here? (it is a bit tricky)

 

[ShaunB]

wow, awesome, thanks. I should've known

We actually went through finding the integral of cosecant in class. You have to multiply by a magic form of 1 (cscx+cotx over itself). Yeah it's tricky. But it comes out to:

-ln |cscx+cotx| + C

But you know that, just letting you know I got it.
thanks again for the help.