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Learn how to solve integrals of exponential functions problems step by step online.
$\int_{0}^{1}\frac{x+2}{5x+1}dx$
Learn how to solve integrals of exponential functions problems step by step online. Integrate the function (x+2)/(x^2^1/2+4x+1) from 0 to 1. Simplify the expression inside the integral. Expand the fraction \frac{x+2}{5x+1} into 2 simpler fractions with common denominator 5x+1. Expand the integral \int_{0}^{1}\left(\frac{x}{5x+1}+\frac{2}{5x+1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{1}\frac{x}{5x+1}dx results in: \frac{53}{413}.