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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$
Learn how to solve integrals of exponential functions problems step by step online.
$\int e^{\left(\sqrt[3]{x^{5}}\right)}x^{-4}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int((e^x^(5/3))/(x^4))dx. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. 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. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.
