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Integral of (x^2)/((x^2-4)^0.5)

\int\frac{x2}{\sqrt{x^2-4}}dx

Step by step solution

Problem

$\int\frac{x2}{\sqrt{x^2-4}}dx$

Show full step-by-step solution

Answer

$2\int\frac{\sec\left(\theta\right)^2\frac{d}{d\theta}\left(2\sec\left(\theta\right)\right)}{\tan\left(\theta\right)}d\theta$
$\int\frac{x2}{\sqrt{x^2-4}}dx$

Main topic:

Integration by trigonometric substitution

Used formulas:

0

Time to solve it:

0.36 seconds