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$\int\frac{1+\tan\left(x\right)}{1+\cot\left(x\right)}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (1+tan(x))/(1+cot(x)). Find the integral. Reduce \frac{1+\tan\left(x\right)}{1+\cot\left(x\right)} by applying trigonometric identities. We can solve the integral \int\tan\left(x\right)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.