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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 integral's denominator by $-a^2$
Learn how to solve quadratic equations problems step by step online.
$\frac{1}{-a^2}\int\frac{1}{1+\frac{u^2}{-a^2}}du$
Learn how to solve quadratic equations problems step by step online. Find the integral int(1/(u^2-a^2))du. Factor the integral's denominator by -a^2. Solve the integral applying the substitution v^2=\frac{u^2}{a^2}. Then, take the square root of both sides, simplifying we have. Now, in order to rewrite du in terms of dv, we need to find the derivative of v. We need to calculate dv, we can do that by deriving the equation above. Isolate du in the previous equation.