Hi, can someone please help me with this. I really appreciate it.
Given the sum of two iterated integrals
I = 0∫(√2)/2 0 ∫x √(x2 + y2) dydx + (√2)/2 ∫1 0 ∫√1-x^2) √(x2 + y2) dydx
a) use the set notation to describe the region D of integration
b) sketch region D
I think I have a general idea, but I'm unsure. Do I set the intervals of dy and dx equal to each other?
Stacey Warren - Expert brainly.com
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Don't understand your notation: what is the 0s in front of integral sign?
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The whole region is a semicircle of radius one, pierced by y=x
Thanks, but i"m still lost.
What would the interval of the region be?
First one 0
Second one 0
Oh, so I don't have to write a notation that combines the two iterated integrals as one?
I was just 'quoting' what the integrals say to answer your question, I wasn't working on the problem so to speak.
The first one describes a region that looks like a piece of pie between 0 and y=x of length (sq rt 2)/2. And the second part goes from the end of that starting at (sq rt 2)/2 to 1 a sector of a semicircle.