Exercise
$\int x\left(3e^x-\sin\left(x\right)\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(x(3e^x-sin(x)))dx. We can solve the integral \int x\left(3e^x-\sin\left(x\right)\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(3e^x-sin(x)))dx
Final answer to the exercise
$3e^x\cdot x+x\cos\left(x\right)-3e^x-\sin\left(x\right)+C_0$