Final answer to the problem
$-\frac{2}{3}x^{-12}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Simplify the expression
Learn how to solve integrals of rational functions problems step by step online.
$8\int\frac{1}{x^{13}}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((8x^2)/(x^(3+2)^3))dx. Simplify the expression. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. 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 -13. Simplify the fraction 8\left(\frac{x^{-12}}{-12}\right).
Final answer to the problem
$-\frac{2}{3}x^{-12}+C_0$
