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Deathfish
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Homework Statement
Integrate (x+2y) over
y=1+x^2 , y=2x^2 and x=0, x=1 (dy dx)
Homework Equations
Graph is sketched.
The Attempt at a Solution
y = 2x^2 --> x=(y/2)^(1/2)
y = 1+x^2 --> x=(y-1)^(1/2)
integrate over y=0 to y=2
problem encountered when solving definite integral from y=0 to y=2, because i end up with (-1/8 y^2 + 1/2 y + 4/5 (y/2)^(1/2) - 4/5 (y-1)^(5/2) - 4/3 (y-1)^(3/2)) over y=0 to y=2, (y-1) gives (-1)^(5/2) and (-1)^(3/2) , square root of negative number.
where did i go wrong?
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