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

\int\frac{x+2}{\sqrt{x^2-2}}dx

Step by step solution

Problem

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

Show full step-by-step solution

Answer

$\sqrt{1}\int\frac{\frac{d}{d\theta}\left(\sqrt{2}\sec\left(\theta\right)\right)}{\tan\left(\theta\right)}d\theta+\sqrt{x^2-2}$
$\int\frac{x+2}{\sqrt{x^2-2}}dx$

Main topic:

Integration by trigonometric substitution

Used formulas:

4. See formulas

Time to solve it:

0.39 seconds