Final answer to the problem
Step-by-step Solution
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Simplify the expression inside the integral
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{x}{x^2+2}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((5x)/(5x^2+10))dx. Simplify the expression inside the integral. Rewrite the fraction \frac{x}{x^2+2} inside the integral as the product of two functions: x\frac{1}{x^2+2}. We can solve the integral \int x\frac{1}{x^2+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.