# Math Help - integration

1. ## integration

Can someone help me with this equation please Sinh^5x coshx dx thanks.

Can someone help me with this equation please Sinh^5x coshx dx thanks.
$\int \sinh^{5}(x) \cosh(x) dx$
Let's use u-Substitution.

$u = \sinh(x)$
$du = \cosh(x) dx$
So, using these in our original integral and it's pretty simple from here.

$\int u^5 du = \frac {u^6}{6}+C$
Subbing back in u = sinh(x) and you get

$=\frac {\sinh^{6}(x)}{6}+C$