Exercise
$\int e^{\frac{x}{3}}\cdot\cos\left(2x\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(e^(x/3)cos(2x))dx. We can solve the integral \int e^{\frac{x}{3}}\cos\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. Solve the integral to find v.
Find the integral int(e^(x/3)cos(2x))dx
Final answer to the exercise
$\frac{3}{37}e^{\frac{x}{3}}\cos\left(2x\right)+\frac{18}{37}e^{\frac{x}{3}}\sin\left(2x\right)+C_0$