- #1
Digitalism
- 40
- 9
Homework Statement
∫∫e^(y√x)dxdy from 1 to 4 then from 0 to 2
Homework Equations
∫ e^x = e^x
u substitution
The Attempt at a Solution
I am just curious if this is equal to double integral e^(y\sqrt{x})dydx from 0 to 2 then from 1 to 4. In other words can I change the order of integration without screwing up my function? If so I can solve it. If not I have tried U substitution:
u = y√x
du = y/2√x} dx
which changes my equation to double integral (2√x/y)e^(u)dudy from 1 to 4 then from 0 to 2 which is equal to (2u/y^2)e^(u)dudy from 1 to 4 then from 0 to 2 but I don't see how integrating that will give me 2e^u(u-1)/y^2 which was wolfram alpha's indefinite integration for e^y\sqrt{x}. help?