Exercise
$\int e^{3x}\left(x+2\right)dx$
Step-by-step Solution
Learn how to solve simplify trigonometric expressions problems step by step online. Find the integral int(e^(3x)(x+2))dx. We can solve the integral \int e^{3x}\left(x+2\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(e^(3x)(x+2))dx
Final answer to the exercise
$\frac{1}{3}e^{3x}\left(x+2\right)-\frac{1}{9}e^{3x}+C_0$