Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\left(\cos\left(x\right)-\sin\left(x\right)\right)^2dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (cos(x)-sin(x))^2. Find the integral. Rewrite the integrand \left(\cos\left(x\right)-\sin\left(x\right)\right)^2 in expanded form. Expand the integral \int\left(1-\sin\left(2x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x.