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$\int\left(\frac{1}{\tan\left(x\right)^2}+1\right)dx$
Learn how to solve problems step by step online. Integrate the function 1/(tan(x)^2)+1. Find the integral. Expand the integral \int\left(\frac{1}{\tan\left(x\right)^2}+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\frac{1}{\tan\left(x\right)^2}dx 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.