Final answer to the problem
$\frac{x^{3}}{3}-\frac{1}{2}x^2+x-\ln\left|x+1\right|+C_0$
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Step-by-step Solution
How should I solve this problem?
- Find the integral
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
- Load more...
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1
Find the integral
$\int\frac{x^3}{x+1}dx$
Learn how to solve integral calculus problems step by step online.
$\int\frac{x^3}{x+1}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x^3)/(x+1). Find the integral. Divide x^3 by x+1. Resulting polynomial. Expand the integral \int\left(x^{2}-x+1+\frac{-1}{x+1}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$\frac{x^{3}}{3}-\frac{1}{2}x^2+x-\ln\left|x+1\right|+C_0$
