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- Integrate by partial fractions
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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
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$\int e^{\left(\sqrt[3]{x^{5}}\right)}\frac{1}{x^{4}}dx$
Learn how to solve problems step by step online. Find the integral int(e^x^(5/3)x^(-4))dx. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by e^{\left(\sqrt[3]{x^{5}}\right)}. Rewrite the function e^{\left(\sqrt[3]{x^{5}}\right)} as it's representation in Maclaurin series expansion. Simplify \left(\sqrt[3]{x^{5}}\right)^n using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{5}{3} and n equals n.
