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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. The integral 2\int\frac{x}{\sqrt{x+1}}dx results in: \frac{4}{3}\sqrt{\left(x+1\right)^{3}}-4\sqrt{x+1}. Gather the results of all integrals.