Exercise
$\int\left(e^{7x}\:sin\:8x\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(e^(7x)sin(8x))dx. We can solve the integral \int e^{7x}\sin\left(8x\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^(7x)sin(8x))dx
Final answer to the exercise
$-\frac{7}{15}e^{7x}\sin\left(8x\right)+\frac{8}{15}e^{7x}\cos\left(8x\right)+C_0$