Exercise
$\int-3xe^{-2x}dx$
Step-by-step Solution
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(-3xe^(-2x))dx. The integral of a function times a constant (-3) is equal to the constant times the integral of the function. We can solve the integral \int xe^{-2x}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.
Find the integral int(-3xe^(-2x))dx
Final answer to the exercise
$\frac{3}{2}e^{-2x}x+\frac{3}{4}e^{-2x}+C_0$