1. ## Integral cot2x

Hiyah, how do I work out the integral of cot^2(x)dx?

I worked out that the differential cotxdx is -csc^2(x) and apparently this is supposed to help.

I've tried all sorts of perverted methods but they're going nowhere. Any clues?

Cheers.

2. Hello, Xei!

$\int \cot^2\!x\,dx$
Recall that: . $\csc^2\!\theta \;=\;\cot^2\!\theta+1 \quad\Rightarrow\quad \cot^2\!\theta \;=\;\csc^2\!\theta - 1$

Then we have: . $\int \cot^2\!x\,dx \;=\;\int(\csc^2\!x - 1)\,dx \;=\;\int\csc^2\!x\,dx - \int\,dx$

Got it?

3. Ohhh that was quite obvious.

Right so

$-\int-\csc^2{x}+1dx=-\cot{x}-x$

?

4. Originally Posted by Xei
Ohhh that was quite obvious.

Right so

$-\int-\csc^2{x}+1dx=-\cot{x}-x$

?
+ C.

5. Grah screw +C.

Cheers.

,

,

,

,

,

,

,

# intergral of cot2x

Click on a term to search for related topics.