Consider the integral \displaystyle \int_0^5 \int_0^{\sqrt{25-y}} f(x,y) dx dy.

Consider the integral http://webwork.math.ucdavis.edu/webw...71da5a9931.png. If we change the order of integration we obtain the sum of two integrals: http://webwork.math.ucdavis.edu/webw...f1b85eb901.png
http://webwork.math.ucdavis.edu/webw...ea9131f391.png http://webwork.math.ucdavis.edu/webw...7973f0e8c1.png
http://webwork.math.ucdavis.edu/webw...c050b54e41.png http://webwork.math.ucdavis.edu/webw...449b8e37e1.png
http://webwork.math.ucdavis.edu/webw...61d577bdc1.png http://webwork.math.ucdavis.edu/webw...fcf6dad9f1.png
http://webwork.math.ucdavis.edu/webw...61f20c0741.png http://webwork.math.ucdavis.edu/webw...a1de441b21.png

Quote:

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Originally Posted by ewkimchi

Consider the integral http://webwork.math.ucdavis.edu/webw...71da5a9931.png. If we change the order of integration we obtain the sum of two integrals: http://webwork.math.ucdavis.edu/webw...f1b85eb901.png
http://webwork.math.ucdavis.edu/webw...ea9131f391.png http://webwork.math.ucdavis.edu/webw...7973f0e8c1.png
http://webwork.math.ucdavis.edu/webw...c050b54e41.png http://webwork.math.ucdavis.edu/webw...449b8e37e1.png
http://webwork.math.ucdavis.edu/webw...61d577bdc1.png http://webwork.math.ucdavis.edu/webw...fcf6dad9f1.png
http://webwork.math.ucdavis.edu/webw...61f20c0741.png http://webwork.math.ucdavis.edu/webw...a1de441b21.png

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Start by drawing the region defined by the given integral terminals. Please show your work and say where you get stuck.