- #1
Fizic
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Evaluate the integral ∫(2,∞) ∫(2/x,∞) 1/(y^2)*e^(-x/y) dydx by changing the order of integration.
I get ∫(1,∞) ∫(2y,∞) 1/(y^2)*e^(-x/y)dxdy
etc. etc. etc.
I get to ∫(1,∞) (e^(-2)/y) dy
Which is (ln∞-ln1)/e^2 = ∞
Does this thing not converge?
I get ∫(1,∞) ∫(2y,∞) 1/(y^2)*e^(-x/y)dxdy
etc. etc. etc.
I get to ∫(1,∞) (e^(-2)/y) dy
Which is (ln∞-ln1)/e^2 = ∞
Does this thing not converge?