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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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Rewrite the expression $\frac{5x^2+x-2}{x^3+2x^2}$ inside the integral in factored form
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$\int\frac{5x^2+x-2}{x^2\left(x+2\right)}dx$
Learn how to solve problems step by step online. Find the integral int((5x^2+x+-2)/(x^3+2x^2))dx. Rewrite the expression \frac{5x^2+x-2}{x^3+2x^2} inside the integral in factored form. Rewrite the fraction \frac{5x^2+x-2}{x^2\left(x+2\right)} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-1}{x^2}+\frac{4}{x+2}+\frac{1}{x}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-1}{x^2}dx results in: \frac{1}{x}.
