Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve problems step by step online.
$\int\left(\csc\left(x\right)+\cot\left(x\right)\right)\left(1-\cos\left(x\right)\right)dx$
Learn how to solve problems step by step online. Find the integral of (csc(x)+cot(x))(1-cos(x)). Find the integral. Rewrite the integrand \left(\csc\left(x\right)+\cot\left(x\right)\right)\left(1-\cos\left(x\right)\right) in expanded form. Expand the integral \int\left(\csc\left(x\right)-\cos\left(x\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\csc\left(x\right)dx results in: -\ln\left(\csc\left(x\right)+\cot\left(x\right)\right).