Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve differential calculus problems step by step online.
$\int\sin\left(2u\right)\left(1+\cot\left(2u\right)\right)du$
Learn how to solve differential 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 substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it v), which when substituted makes the integral easier. We see that 2u it's a good candidate for substitution. Let's define a variable v and assign it to the choosen part.