# Math Help - Trig integrals?

1. ## Trig integrals?

integral of (5 times x times csc (6x) times cot (6x) dx)? Thanks in advance.

2. Originally Posted by shah4u19
integral of (5 times x times csc (6x) times cot (6x) dx)? Thanks in advance.
$5\int x \csc(6x)\cot(6x) \, dx$

$u = x$ ... $dv = \csc(6x)\cot(6x) \, dx$

$du = dx$ ... $v = -\frac{1}{6}\csc(6x)$

$uv - \int v \, du$

don't forget the 5

3. Thanks for your help. But could you tell me what is the integral of csc (6x)?

4. Originally Posted by shah4u19
Thanks for your help. But could you tell me what is the integral of csc (6x)?
look it up in your text

5. I know integral of csc x dx is ln (csc x - cot x)...but not sure how to apply it to integral of csc (6x).

6. Originally Posted by shah4u19
I know integral of csc x dx is ln (csc x - cot x)...but not sure how to apply it to integral of csc (6x).
Substitute u = 6x and then do the integral.