Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve problems step by step online.
$\int\frac{\cot\left(x\right)^2\cos\left(x\right)^2}{\cot\left(x\right)^2-\cos\left(x\right)^2}dx$
Learn how to solve problems step by step online. Integrate the function (cot(x)^2cos(x)^2)/(cot(x)^2-cos(x)^2). Find the integral. Rewrite the trigonometric expression \frac{\cot\left(x\right)^2\cos\left(x\right)^2}{\cot\left(x\right)^2-\cos\left(x\right)^2} inside the integral. Rewrite the trigonometric expression \frac{\cos\left(x\right)^{4}}{\cos\left(x\right)^2-\cos\left(x\right)^2\sin\left(x\right)^2} inside the integral. The integral of a constant is equal to the constant times the integral's variable.