Final answer to the problem
$\frac{x^{3}}{3}+4x^2+65x+520\ln\left|x-8\right|+C_0$
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Step-by-step Solution
How should I solve this problem?
- 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
- FOIL Method
- Load more...
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1
Find the integral
$\int\frac{x^3+x}{x-8}dx$
Learn how to solve problems step by step online.
$\int\frac{x^3+x}{x-8}dx$
Learn how to solve problems step by step online. Integrate the function (x^3+x)/(x-8). Find the integral. Divide x^3+x by x-8. Resulting polynomial. Expand the integral \int\left(x^{2}+8x+65+\frac{520}{x-8}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$\frac{x^{3}}{3}+4x^2+65x+520\ln\left|x-8\right|+C_0$
