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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
Learn how to solve integrals of exponential functions problems step by step online.
$\int\frac{1}{\sqrt[7]{x^{5}}}e^{\left(\sqrt[7]{x}\right)}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(x^(-5/7)e^x^(1/7))dx. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Rewrite the function e^{\left(\sqrt[7]{x}\right)} as it's representation in Maclaurin series expansion. Simplify \left(\sqrt[7]{x}\right)^n using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{7} and n equals n. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0.