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Expand the fraction $\frac{2x+1}{\sqrt{x+1}}$ into $2$ simpler fractions with common denominator $\sqrt{x+1}$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{2x}{\sqrt{x+1}}+\frac{1}{\sqrt{x+1}}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x+1)/((x+1)^1/2))dx. Expand the fraction \frac{2x+1}{\sqrt{x+1}} into 2 simpler fractions with common denominator \sqrt{x+1}. Simplify the expression inside the integral. Rewrite the fraction \frac{x}{\sqrt{x+1}} inside the integral as the product of two functions: x\frac{1}{\sqrt{x+1}}. We can solve the integral \int x\frac{1}{\sqrt{x+1}}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.