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