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Simplify the expression inside the integral
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$8\int_{0}^{1}\frac{x}{4x^2+1}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (16x)/(8x^2+2) from 0 to 1. Simplify the expression inside the integral. Rewrite the fraction \frac{x}{4x^2+1} inside the integral as the product of two functions: x\frac{1}{4x^2+1}. We can solve the integral \int x\frac{1}{4x^2+1}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.