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$\int\left(1-\tan\left(x\right)\right)\left(1-\cot\left(x\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (1-tan(x))(1-cot(x)). Find the integral. Rewrite the integrand \left(1-\tan\left(x\right)\right)\left(1-\cot\left(x\right)\right) in expanded form. Expand the integral \int\left(1-\cot\left(x\right)-\tan\left(x\right)+\cot\left(x\right)\tan\left(x\right)\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. Simplify the expression inside the integral.