Answer
$\left| \cos 2-\cos 0\right| \approx1.42$
Work Step by Step
$dA=ydx=\sin xdx\Rightarrow $
$$\int dA=A=\int ^{2}_{0}\sin xdx=\left| \cos x]^{2}_0\right| =\left| \cos 2-\cos 0\right| \approx1.42$$
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