Final answer to the problem
$-2\ln\left|x+2\right|+\ln\left|x-2\right|+x-x-2+2\ln\left|x+2\right|+C_0$
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Step-by-step Solution
How should I solve this problem?
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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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1
Simplify the expression
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{x^2}{x^2-4}dx+\int\frac{-x-1}{x+2}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Integrate int((x^2)/(x^2-4)+(-(x+1))/(x+2))dx. Simplify the expression. The integral \int\frac{x^2}{x^2-4}dx results in: x-\ln\left(x+2\right)+\ln\left(x-2\right). Gather the results of all integrals. The integral \int\frac{-x-1}{x+2}dx results in: -x-2+2\ln\left(x+2\right)-\ln\left(x+2\right).
Final answer to the problem
$-2\ln\left|x+2\right|+\ln\left|x-2\right|+x-x-2+2\ln\left|x+2\right|+C_0$
