I need help setting up my limits of integration for the double integral:

∫ ∫ y^3 where D is bound by the triangle with vertices at 0,2 1,1 and 3,2

Question

I need help setting up my limits of integration for the double integral:

 ∫ ∫ y^3  where D is bound by the triangle with vertices at 0,2  1,1 and  3,2

sirm3d · Answer

|dw:1354568371743:dw| we'll use a horizontal strip to set up the double integral

anonymous · Answer

oh...so we need to get the eq of both lines correct? and then integrate over y = 1 to 3?  and use the equations for the line as limits for x

sirm3d · Answer

first we scan the strip left to right. that would be dx. Then well scan the triangle bottom to top using the strip, and that would be dy.

sirm3d · Answer

y=1 to 2 only. and you are right, use the lines as the limits for x.

anonymous · Answer

oh, yes, 1 to 2.

anonymous · Answer

Thank you that is what I needed to "see"

sirm3d · Answer

welcome. ^^