(adsbygoogle = window.adsbygoogle || []).push({}); R is the interior of the region, in the x,y plane, bounded by the parabola [tex]y = 4 - (x - 3)^2[/tex] and for which [tex]x \leq 3\,\mbox{and}\,y \geq 0[/tex].

Sketch the region R, and evaluate the double integral [tex]\iint_R 2xy\,dx\,dy[/tex]

I've drawn the region, but I am unsure as to what to do with the integral and how R links into it. Do I simply make 3 and 0 the upper and lower limits for x, and make 4 and 0 the upper and lower limits for y when integrating? ie. [tex]\int_{0}^{4}\int_{0}^{3} 2xy\,dx\,dy[/tex]?

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# Homework Help: Multivariable calculus -double int

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