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anonymous
 one year ago
FInd the area of region enclosed by the given curves
y=x+5
y^2=x
y=2
y=1
what I did was sliced it to parts. from o to 1 and 0 to 2
did I do it right?
top half delta y and bottom delta x
anonymous
 one year ago
FInd the area of region enclosed by the given curves y=x+5 y^2=x y=2 y=1 what I did was sliced it to parts. from o to 1 and 0 to 2 did I do it right? top half delta y and bottom delta x

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freckles
 one year ago
Best ResponseYou've already chosen the best response.2hello are you here? I would start off with a drawing first

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\int\limits_{1}^{2} (\text{ \right }\text{ \left } )dy\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes I understand that and I wanted to split it in half at y=0 and take areas separately would that work? @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.2seems much easier just to do one integral \[\int\limits_{1}^2 (y^2(y5)) dy\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I guess I am just over thinking it. because today my teacher was talking about splitting integrals too for some equations

freckles
 one year ago
Best ResponseYou've already chosen the best response.2well you have a x=y^2 is right of x=y5 so x=y^2 is greater than x=y5

freckles
 one year ago
Best ResponseYou've already chosen the best response.2dw:1442380700153:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.2it is clear from the picture between y=1 and y=2 we have x=y^2 is greater than x=y5 you only need one integral

freckles
 one year ago
Best ResponseYou've already chosen the best response.2if the functions had crossed passed and therefore you had some kind of switching of which was greater than you may need more than one integral

freckles
 one year ago
Best ResponseYou've already chosen the best response.2for example if you had: dw:1442380823519:dw you would need two integrals here

freckles
 one year ago
Best ResponseYou've already chosen the best response.2dw:1442380886729:dw \[\int\limits_{1}^c (g(y)f(y))dy+\int\limits_c^2 (f(y)g(y))\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ahhhhhhhh I see and yeeah that looks like two different areas for the second example lol thank you!!

freckles
 one year ago
Best ResponseYou've already chosen the best response.2oops forgot to write a dy at the end of that one integral

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\int\limits\limits_{1}^c (g(y)f(y))dy+\int\limits\limits_c^2 (f(y)g(y)) \color{red}{ dy}\]
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