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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. The integral of the tangent function is given by the following formula, \displaystyle\int\tan(x)dx=-\ln(\cos(x)). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.