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$\int\tan\left(x\right)\left(\cot\left(x\right)-\cos\left(x\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of tan(x)(cot(x)-cos(x)). Find the integral. Rewrite the integrand \tan\left(x\right)\left(\cot\left(x\right)-\cos\left(x\right)\right) in expanded form. Expand the integral \int\left(1-\sin\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x.