Exercise
$\int e^{2z}\cos\left(\frac{1}{4}z\right)dz$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(e^(2z)cos(1/4z))dz. We can solve the integral \int e^{2z}\cos\left(\frac{1}{4}z\right)dz 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^(2z)cos(1/4z))dz
Final answer to the exercise
$\frac{32}{63}e^{2z}\cos\left(\frac{1}{4}z\right)+\frac{4}{63}e^{2z}\sin\left(\frac{1}{4}z\right)+C_0$