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Integral of x/((2^2-1x^2)^0.5)

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

Step by step solution

Problem

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

Show full step-by-step solution

Answer

$2\int\frac{\sin\left(\theta\right)\frac{d}{d\theta}\left(2\sin\left(\theta\right)\right)}{\cos\left(\theta\right)}d\theta$

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

Main topic:

Integration by trigonometric substitution

Used formulas:

1. See formulas

Time to solve it:

0.43 seconds