Exercise
$\int\cos^2y\:\cot\left(y\right)dy$
Step-by-step Solution
Learn how to solve integral calculus problems step by step online. Solve the trigonometric integral int(cos(y)^2cot(y))dy. Simplify \cos\left(y\right)^2\cot\left(y\right) into \cot\left(y\right)-\sin\left(y\right)^2\cot\left(y\right) by applying trigonometric identities. Simplify the expression. The integral \int\cot\left(y\right)dy results in: \ln\left(\sin\left(y\right)\right). The integral \int\frac{-\sin\left(2y\right)}{2}dy results in: \frac{1}{4}\cos\left(2y\right).
Solve the trigonometric integral int(cos(y)^2cot(y))dy
Final answer to the exercise
$\ln\left|\sin\left(y\right)\right|+\frac{1}{4}\cos\left(2y\right)+C_0$