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- Integrate by partial fractions
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- Integrate using tabular integration
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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Rewrite the expression $\frac{5}{x^2-10x}$ inside the integral in factored form
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$\int\frac{5}{x\left(x-10\right)}dx$
Learn how to solve problems step by step online. Find the integral int(5/(x^2-10x))dx. Rewrite the expression \frac{5}{x^2-10x} inside the integral in factored form. Rewrite the fraction \frac{5}{x\left(x-10\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-1}{2x}+\frac{1}{2\left(x-10\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-1}{2x}dx results in: -\frac{1}{2}\ln\left|x\right|.