Exercise
$\int_{-a}^0\left(x\cdot e^{-x}\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function xe^(-x) from -a to 0. We can solve the integral \int xe^{-x}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.
Integrate the function xe^(-x) from -a to 0
Final answer to the exercise
$- 0\cdot e^{- 0}- - -1e^{- -1a}a+e^a-1$