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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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Rewrite the expression $\frac{4x^2-8}{x^3+2x^2}$ inside the integral in factored form
Learn how to solve differential calculus problems step by step online.
$\int\frac{4x^2-8}{x^2\left(x+2\right)}dx$
Learn how to solve differential calculus problems step by step online. Find the integral int((4x^2-8)/(x^3+2x^2))dx. Rewrite the expression \frac{4x^2-8}{x^3+2x^2} inside the integral in factored form. Rewrite the fraction \frac{4x^2-8}{x^2\left(x+2\right)} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-4}{x^2}+\frac{2}{x+2}+\frac{2}{x}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-4}{x^2}dx results in: \frac{4}{x}.