Exercise
$\int\left(e^xcos\left(k\pi x\right)\right)dx$
Step-by-step Solution
Learn how to solve special products problems step by step online. Find the integral int(e^xcos(kpix))dx. We can solve the integral \int e^x\cos\left(\pi kx\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^xcos(kpix))dx
Final answer to the exercise
$\frac{e^x\cos\left(\pi kx\right)+\pi ke^x\sin\left(\pi kx\right)}{-\pi \cdot -1k^2+1}+C_0$