Final answer to the problem
$\frac{1}{2}e^x\cos\left(x\right)+\frac{1}{2}e^x\sin\left(x\right)+C_0$
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Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(e^xcos(x))dx. We can solve the integral \int e^x\cos\left(x\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.
Final answer to the problem
$\frac{1}{2}e^x\cos\left(x\right)+\frac{1}{2}e^x\sin\left(x\right)+C_0$
