Question

Integrate. sinx+secx/tanx I think I messed up some where because I get sinx-cscx.

Answer 1

\[\int \frac{\sin x + \sec x}{\tan x} dx?\]

Answer 2

Yes

Answer 3

\[\int \frac{\sin x }{\tan x} dx + \frac{\sec x}{\tan x}dx\]
this is what you did right?

Answer 4

Yes.

Answer 5

there's an integral for sec x/tan x of course

Answer 6

\[\large \int \frac{\sin x}{\frac{\sin x}{\cos x}}dx + \int \frac{\frac{1}{\cos x}}{\frac{\sin x}{\cos x}}dx\]
is this what you did next?

Answer 7

Yes

Answer 8

then what did you do?

Answer 9

Oh, I put in a sin^2 at the bottom, that's why I messed up.

Answer 10

so what did you get in this one?

Answer 11

I got sinx+ln|cscx-cotx|+c

Answer 12

hmm

Answer 13

seems right congrats