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$\int\frac{\frac{\sin\left(x\right)}{\cos\left(x\right)}}{1-\cos\left(x\right)^2}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (sin(x)/cos(x))/(1-cos(x)^2). Find the integral. Simplify the expression inside the integral. The integral of a function times a constant (2) is equal to the constant times the integral of the function. We can solve the integral \int\csc\left(2x\right)dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that 2x it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.