|May1-10, 11:40 PM||#1|
Reversing the order of integration
Hi Im trying to evaluate a line integral, and i need to reverse the order of integration, i'll call the function f(x) as it doesnt matter too much. and the bounds are:
double integral f(x) dxdy where inner integral is from x=y^2/a to x=y and the outer integral is from y=0 to y=a (where a is a positive constant)
talk about a headache! ive done the best i can and i came up with:
double integral fx dydx where inner integral is from y=sqrt(xa) to y=x and the outer integral is from x=0 to x=a
but i dont think this is right because when i use this for f(x) i get an impossible answer (ill spare you the details)
Any help would be appreciated!
|May2-10, 10:07 AM||#2|
Hi mikeyrichster! Welcome to PF!
(have a square-root: √ and an integral: ∫ and try using the X2 tag just above the Reply box )
which is the same as above the straight line and below the curve,
so your solution looks ok to me (except that the inner limits are the wrong way round).
|double integral, reversing the order|
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