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