Exercise
$\int e^{-6x}sin18xdx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(e^(-6x)sin(18x))dx. We can solve the integral \int e^{-6x}\sin\left(18x\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^(-6x)sin(18x))dx
Final answer to the exercise
$\frac{1}{-60}e^{-6x}\sin\left(18x\right)-\frac{1}{20}e^{-6x}\cos\left(18x\right)+C_0$