Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\frac{\csc\left(y\right)^4-1}{\cot\left(y\right)^2}dy$
Learn how to solve integral calculus problems step by step online. Integrate the function (csc(y)^4-1)/(cot(y)^2). Find the integral. Expand the fraction \frac{\csc\left(y\right)^4-1}{\cot\left(y\right)^2} into 2 simpler fractions with common denominator \cot\left(y\right)^2. Expand the integral \int\left(\frac{\csc\left(y\right)^4}{\cot\left(y\right)^2}+\frac{-1}{\cot\left(y\right)^2}\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{\csc\left(y\right)^4}{\cot\left(y\right)^2}dy results in: \tan\left(y\right)-\cot\left(y\right).