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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. Find the integral of (1+5x)(1+1*-5x25x^2). Find the integral. Simplifying. Rewrite the integrand \left(1+5x\right)\left(1-5x+25x^2\right) in expanded form. Expand the integral \int\left(1+125x^{3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.