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 April 3rd, 2017, 07:35 AM #1 Newbie   Joined: Feb 2017 From: Michigan Posts: 17 Thanks: 0 Double Integrals Can someone set this integral up for me given: find the volume of the solid formed by f(x,y)= x+y over the region defined by z=0 y=y=x^2, y=1 Thanks!! April 3rd, 2017, 09:25 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 I presume you mean the region below z= f(x,y)= x+ y, above the region in the xy-plane bounded by y= x^2 and y= 1. The simplest thing to do is to take x going from -1 to 1 (y= 1 crosses y= x^2 at (-1, 1) and (1, 1)). For each x, y goes from x^2 up to 1. The volume is given by $\displaystyle \int_{-1}^1\int_{x^2}^1 (x+ y)dy dx$. Last edited by skipjack; April 4th, 2017 at 07:29 AM. Tags double, integrals Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post PlzzHelp Calculus 3 September 5th, 2016 12:38 PM fromage Calculus 3 December 12th, 2014 04:43 PM alexmath Calculus 3 April 17th, 2014 05:25 PM chess1 Real Analysis 1 March 2nd, 2014 11:48 PM thummel1 Calculus 1 April 20th, 2009 04:41 PM

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