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

## Answer

$-\frac{1}{3}\int_{-1}^{2}9\sin\left(\theta\right)d\theta$

## Step-by-step explanation

Problem

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

1

Applying the power of a power property

$\int_{-1}^{2}\frac{-2x}{2\sqrt{9-x^2}}dx$

## Answer

$-\frac{1}{3}\int_{-1}^{2}9\sin\left(\theta\right)d\theta$