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Rewrite the fraction $\frac{x^3}{x^2+5}$ inside the integral as the product of two functions: $x^3\frac{1}{x^2+5}$
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$\int x^3\frac{1}{x^2+5}dx$
Learn how to solve problems step by step online. Find the integral int((x^3)/(x^2+5))dx. Rewrite the fraction \frac{x^3}{x^2+5} inside the integral as the product of two functions: x^3\frac{1}{x^2+5}. We can solve the integral \int x^3\frac{1}{x^2+5}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.