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

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

Answer

$\frac{1}{2}\int4\sin\left(\theta\right)d\theta$

Step-by-step explanation

Problem

$\int\frac{x}{\sqrt{2^2-x^2}}dx$
1

Calculate the power

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

Unlock this step-by-step solution!

Answer

$\frac{1}{2}\int4\sin\left(\theta\right)d\theta$

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

Main topic:

Integration by trigonometric substitution

Used formulas:

3. See formulas

Time to solve it:

~ 7.83 seconds