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Simplify $\sqrt{x^3}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $\frac{1}{2}$
Learn how to solve integrals with radicals problems step by step online.
$\int\sqrt{x^{3}}dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int(x^3^1/2)dx. Simplify \sqrt{x^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{2}. 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{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.