Final Answer
$\frac{2}{3}\sqrt{x^{3}}+\frac{2}{5}\sqrt{x^{5}}+C_0$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\int\frac{x+x^2}{\sqrt{x}}dx$
Specify the solving method
1
Expand the fraction $\frac{x+x^2}{\sqrt{x}}$ into $2$ simpler fractions with common denominator $\sqrt{x}$
$\int\left(\frac{x}{\sqrt{x}}+\frac{x^2}{\sqrt{x}}\right)dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int\left(\frac{x}{\sqrt{x}}+\frac{x^2}{\sqrt{x}}\right)dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x+x^2)/(x^1/2))dx. Expand the fraction \frac{x+x^2}{\sqrt{x}} into 2 simpler fractions with common denominator \sqrt{x}. Simplify the resulting fractions. Simplify the expression inside the integral. The integral \int\sqrt{x}dx results in: \frac{2}{3}\sqrt{x^{3}}.
Final Answer
$\frac{2}{3}\sqrt{x^{3}}+\frac{2}{5}\sqrt{x^{5}}+C_0$