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