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Homework Statement
So i think i got this straight since my last question. let's see :)
So my area of integration is: y=4 ; y=x^{2} and y=(x2)^{2}
the function is x1
i must integrate with respect to dx first.
The Attempt at a Solution
So i sketched the area (see attatchment graphs should be cross at x=1 sorry for my bad sketch xD) and found that the upper limit for dx is x^{2} (so y^{½}) and the lower is (x2)(so y^{½}2)^{2}
then noticed that since the function is the absolute value of x1 i can divide it up into 2 functions
x+1 (for x<1) and x1 (for x>1) and with that in mind in my sketch i drew the line x=1 so my integrals are:
∫_{y½2}^{1}(x+1) dx (this integral is from y^{½}2 to 1)
and ∫_{1}^{y½}(x1)dx (this integral is from 1 to y^{½})
and then integrate all this with respect to y from 0 to 4.
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