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$\int\cot\left(x\right)^2dx+\int\csc\left(x\right)dx$
Learn how to solve differential calculus problems step by step online. Solve the trigonometric integral int(cot(x)^2+1csc(x))dx. Simplify the expression inside the integral. We can solve the integral \int\cot\left(x\right)^2dx by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of t by setting the substitution. Hence. Substituting in the original integral we get.