Exercise
$\int e^{3x}\cos\left(1-x\right)dx$
Step-by-step Solution
Learn how to solve definition of derivative problems step by step online. Find the integral int(e^(3x)cos(1-x))dx. We can solve the integral \int e^{3x}\cos\left(1-x\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)cos(1-x))dx
Final answer to the exercise
$\frac{3}{8}e^{3x}\cos\left(1-x\right)-\frac{1}{8}e^{3x}\sin\left(1-x\right)+C_0$