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