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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. Integrate the function 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. We can solve the integral \int\sin\left(2u\right)du by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.