Exercise
$\int e^{9x}cos\left(6x\right)dx$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Find the integral int(e^(9x)cos(6x))dx. We can solve the integral \int e^{9x}\cos\left(6x\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(6x))dx
Final answer to the exercise
$\frac{1}{5}e^{9x}\cos\left(6x\right)+\frac{2}{15}e^{9x}\sin\left(6x\right)+C_0$