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Integrate ((-2x)/(2(9-1x^2)^0.5))^2^0.5 from -1 to 2

\int_{-1}^{2}\sqrt{\left(\frac{-2x}{2\sqrt{9-x^2}}\right)^2}dx

Step by step solution

Problem

$\int_{-1}^{2}\sqrt{\left(\frac{-2x}{2\sqrt{9-x^2}}\right)^2}dx$

Show full step-by-step solution

Answer

$-3\int_{-1}^{2}\frac{\sin\left(\theta\right)\frac{d}{d\theta}\left(3\sin\left(\theta\right)\right)}{\cos\left(\theta\right)}d\theta$

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$\int_{-1}^{2}\sqrt{\left(\frac{-2x}{2\sqrt{9-x^2}}\right)^2}dx$

Main topic:

Integration by trigonometric substitution

Used formulas:

1. See formulas

Time to solve it:

0.63 seconds