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$\int\left(1+5x\right)\left(1+1\cdot -5x+25x^2\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (1+5x)(1+1*-5x25x^2). Find the integral. Simplifying. We can solve the integral \int\left(1+5x\right)\left(1-5x+25x^2\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.