Exercise
$\int\left(x-2\right)\cos\left(x-3\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((x-2)cos(x-3))dx. We can solve the integral \int\left(x-2\right)\cos\left(x-3\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v. Solve the integral to find v.
Find the integral int((x-2)cos(x-3))dx
Final answer to the exercise
$x\sin\left(x-3\right)-2\sin\left(x-3\right)+\cos\left(x-3\right)+C_0$