Question

Integrate
-∫cosech(x)coth(x) dx

Answer 1

csch(x). This is just an identity you need to know. It is the same as the -∫csc(x)cot(x) dx
but in hyperbolic form.

Answer 2

u sure ?

Answer 3

well, +C.

Answer 4

so if i have ∫ how would u solve that

Answer 5

\[\int\limits_{}^{}\frac{ \cosh(x) }{ 9-Sinh^2(x)}\]

Answer 6

can u help
?

Answer 7

I'd imagine you would be doing some sort of integration by parts or partial fractions, but I really don't know. Sorry.

Answer 8

\[\int\frac{\cosh x}{9-\sinh^2x}~dx\]
Substitute \(u=\sinh x\), so \(du=\cosh x~dx\):
\[\int\frac{du}{9-u^2}\]
Then partial fractions or trig sub should work.