Question

Use substitution to evaluate the integral. Integral (rad(cotx)csc^2)dx

Answer 1

use u substitution
\[u=\cot x\]
\[-du=\csc ^{2}xdx\]
\[-\int\limits_{}^{}u ^{1/2}du\]
\[-2/3u ^{3/2}+c\]
\[-2/3\left( \cot x \right)^{3/2}+c\]