(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find area of indicated region: S is bounded by the curves y = 4x and y = 2x^3

actual answer: 8/3

note: }a:b{ is what i mean by the definite integral

2. Relevant equations

A(s) = 1/2 }Green's Int{ (-ydx + xdy) = 1/2 }{ }{ (dN/dx - dM/dy)dxdy

3. The attempt at a solution

y' = 4

intersection: 4x = 2x^3 ---> x = sqrt(2)

A(s) = 1/2 }0:sqrt(2){ }4x:4{ (1 + 1) dydx

= 1/2 }0:sqrt(2){ (2(4) - 2(4x)) dx

= 1/2 (8(sqrt(2)) - 4(2))

= 4(sqrt(2)) - 4

(not equal to 8/3)

sorry bare with me i dont totally understand the theorem but i tried

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# Homework Help: Green's Th. problem

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