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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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Factor the difference of squares $u^2-2$ as the product of two conjugated binomials
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$\int\frac{1}{\left(u+\sqrt{2}\right)\left(u-\sqrt{2}\right)}du$
Learn how to solve problems step by step online. Find the integral int(1/(u^2-2))du. Factor the difference of squares u^2-2 as the product of two conjugated binomials. Rewrite the fraction \frac{1}{\left(u+\sqrt{2}\right)\left(u-\sqrt{2}\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by \left(u+\sqrt{2}\right)\left(u-\sqrt{2}\right). Multiplying polynomials.