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