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Any expression (except $0$ and $\infty$) to the power of $0$ is equal to $1$
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$\int x\cos\left(x\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(xcos(x))dxdx^0. Any expression (except 0 and \infty) to the power of 0 is equal to 1. We can solve the integral \int 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 u and calculate du. Now, identify dv and calculate v.