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