** Final answer to the problem

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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
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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The integral $\int\frac{x^2}{x+1}dx$ results in: $\frac{1}{2}x^2-x+\ln\left|x+1\right|$

Learn how to solve integral calculus problems step by step online.

$\frac{1}{2}x^2-x+\ln\left|x+1\right|$

Learn how to solve integral calculus problems step by step online. Find the integral int((x^2)/(x+1))dx+int(y/(y+2))dy. The integral \int\frac{x^2}{x+1}dx results in: \frac{1}{2}x^2-x+\ln\left|x+1\right|. Gather the results of all integrals. The integral \int\frac{y}{y+2}dy results in: y+2-2\ln\left|y+2\right|. Gather the results of all integrals.

** Final answer to the problem

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