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$\int x^2\cdot 2^x\ln\left(2x\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of x^22^xln(2x). Find the integral. We can solve the integral \int x^2\cdot 2^x\ln\left(2x\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.