Thread: Double integral help please

Question is: evaluate by reversing the order of integration:

int(0-4) int(sqrt(y)-2) (y exp(x^2))/x^3 dx dy

(sorry about the crude way of expressing it, tried my best)

I began by setting sqrt(y)<x<2, etc then got to:

int(0-2) int(0-x^2) (y exp(x^2))/x^3 dy dx

and then to:

int(0-2) (x^2*exp(x^2))/2x dx


could somebody please confirm for me that I am heading in the right direction, and the correct answer will be found when I solve that single integral equation? I've given it a go but to be honest I'm not very confident...

cheers

Originally Posted by RossLeeds

I began by setting sqrt(y)<x<2, etc then got to:

int(0-2) int(0-x^2) (y exp(x^2))/x^3 dy dx

Yes, those are the right bounds.

You can also make a sketch.