Exercise
$\int e^{9x}cos\left(4x\right)dx$
Step-by-step Solution
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(e^(9x)cos(4x))dx. We can solve the integral \int e^{9x}\cos\left(4x\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^(9x)cos(4x))dx
Final answer to the exercise
$\frac{9}{65}e^{9x}\cos\left(4x\right)+\frac{4}{65}e^{9x}\sin\left(4x\right)+C_0$