Final Answer
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Simplify $\sqrt[3]{x^4}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $4$ and $n$ equals $\frac{1}{3}$
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$\int\sqrt[3]{x^{4}}dx$
Learn how to solve problems step by step online. Integrate int(x^4^1/3)dx. Simplify \sqrt[3]{x^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{3}. 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{4}{3}. Divide 1 by \frac{7}{3}. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.