Exercise
$\int3e^{2x}\sin\left(2x\right)dx$
Step-by-step Solution
Learn how to solve integral calculus problems step by step online. Find the integral int(3e^(2x)sin(2x))dx. The integral of a function times a constant (3) is equal to the constant times the integral of the function. We can solve the integral \int e^{2x}\sin\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.
Find the integral int(3e^(2x)sin(2x))dx
Final answer to the exercise
$\frac{3}{8}e^{2x}\sin\left(2x\right)-\frac{3}{8}e^{2x}\cos\left(2x\right)+C_0$