x=y^2 + 2

y=0

y=3

x=0

find the area..

can anybody help me start this problem?

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- Apr 13th 2010, 12:45 PMFinalFantasy9291area between curves
x=y^2 + 2

y=0

y=3

x=0

find the area..

can anybody help me start this problem? - Apr 13th 2010, 01:25 PMArchie Meade
- Apr 13th 2010, 01:26 PMAllanCuz
This is a parabola in the XY plane and your bounds are given. So lets set this up

$\displaystyle \int_0^3 dy \int_0^{y^2 + 2} dx $

Where does this come from? Well we are bounded by the x function and the co-ordinate planes. So clearly, our dx integral is from 0-->function. Likewise, y is bounded by the co-ordinate axis and a function, but in this case that function is 3. Thus our bounds are from 0-->3

You can also switch the limits of integration here and compute dy first before dx.