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