Final Answer
$\frac{2}{3}\sqrt{x^{3}}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\sqrt{x}dx$
Specify the solving method
1
Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a number or constant function, such as $\frac{1}{2}$
$\frac{1}{\frac{3}{2}}\sqrt{x^{3}}$
Learn how to solve integrals with radicals problems step by step online.
$\frac{1}{\frac{3}{2}}\sqrt{x^{3}}$
Learn how to solve integrals with radicals problems step by step online. Integrate int(x^1/2)dx. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as \frac{1}{2}. Divide 1 by \frac{3}{2}. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final Answer
$\frac{2}{3}\sqrt{x^{3}}+C_0$