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- Integrate by partial fractions
- Integrate by substitution
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the expression $\frac{8}{x^2-x}$ inside the integral in factored form
Learn how to solve differential calculus problems step by step online.
$\int\frac{8}{x\left(x-1\right)}dx$
Learn how to solve differential calculus problems step by step online. Integrate the function 8/(x^2-x) from 15 to infinity. Rewrite the expression \frac{8}{x^2-x} inside the integral in factored form. Rewrite the fraction \frac{8}{x\left(x-1\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-8}{x}+\frac{8}{x-1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-8}{x}dx results in: -8\ln\left(x\right).
