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Use double integration to find the area of the region in the xy-plane bounded by the given curves.$$y=x, y=2 x, x y=2$$...

Question

Use double integration to find the area of the region in the xy-plane bounded by the given curves.$$y=x, y=2 x, x y=2$$

Use double integration to find the area of the region in the xy-plane bounded by the given curves. $$y=x, y=2 x, x y=2$$



Answers

Sketch the region enclosed by the curves and find its area. $$ x^{2}=y, x=y-2 $$

In the question. We have to use the violent federation to find the area of the plane region and closed by. Why square close to minus X, um three by minus X equals to four. Now moving towards the solution a dia and be given by double integration Over the region are d, which can return as integration from minus 4 to 1 into integration from three by minus X minus Weiss, where they my minus four minus by square dx dy y No question we will be solving the inner integral. So keeping their wearing pink adolescent is minus wise where minus three by less full into day. By not solving distant figure, we will get minus y to the power three upon three, minus three y squared by who? Plus four by We're going from minus whole one. Putting this limit we will like minus one upon three minus three Vital less old minus 64 by three less when people dress 16 which will finally question my one on 1 25 by six. And this will be the final answer for the given question. Thank you.

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