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Expand the integral $\int_{0}^{1}\left(xe^{2x}-xe^x\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int_{0}^{1} xe^{2x}dx+\int_{0}^{1}-xe^xdx$
Learn how to solve problems step by step online. Integrate the function xe^(2x)-xe^x from 0 to 1. Expand the integral \int_{0}^{1}\left(xe^{2x}-xe^x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int xe^{2x}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.