Final answer to the problem
$\frac{1}{5}e^x\cos\left(2x\right)+\frac{2}{5}e^x\sin\left(2x\right)+C_0$
Got another answer? Verify it here!
Step-by-step Solution
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(e^xcos(2x))dx. We can solve the integral \int e^x\cos\left(2x\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.
Final answer to the problem
$\frac{1}{5}e^x\cos\left(2x\right)+\frac{2}{5}e^x\sin\left(2x\right)+C_0$
