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The integral of a function times a constant ($3$) is equal to the constant times the integral of the function
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$3\int xe^{-2x}dx$
Learn how to solve problems step by step online. Integrate the function 3xe^(-2x) from 1 to infinity. The integral of a function times a constant (3) is equal to the constant times the integral of the function. 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.