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- Integrate by partial fractions
- Integrate by substitution
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- Integrate using tabular integration
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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Factor the difference of squares $x^2-10$ as the product of two conjugated binomials
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$\int\frac{1}{\left(x+\sqrt{10}\right)\left(x-\sqrt{10}\right)}dx$
Learn how to solve problems step by step online. Find the integral int(1/(x^2-10))dx. Factor the difference of squares x^2-10 as the product of two conjugated binomials. Rewrite the fraction \frac{1}{\left(x+\sqrt{10}\right)\left(x-\sqrt{10}\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-37}{234\left(x+\sqrt{10}\right)}+\frac{37}{234\left(x-\sqrt{10}\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{-37}{234\left(x+\sqrt{10}\right)}dx results in: -\frac{37}{234}\ln\left(x+\sqrt{10}\right).
