# Setting up double integral

• Jan 27th 2009, 08:33 PM
s7b
Setting up double integral
Hi,

I was just wondering if the set up for this problem; integrate f(s,t)=e^slnt over the region in the first quadrant of the st-plane that lies above the curve s=lnt from t=1 to t=2

is:

integral(t=1 to t=2)integral(s=ln1 to s=ln2) of e^slnt

If that's not the right set up what am I doing wrong.

Thanks
• Jan 28th 2009, 10:05 AM
Jester
Quote:

Originally Posted by s7b
Hi,

I was just wondering if the set up for this problem; integrate f(s,t)=e^slnt over the region in the first quadrant of the st-plane that lies above the curve s=lnt from t=1 to t=2

is:

integral(t=1 to t=2)integral(s=ln1 to s=ln2) of e^slnt

If that's not the right set up what am I doing wrong.

Thanks

I think it should be

$\int_0^1 \int _0^{\ln t} e^s \ln t \, ds\,dt$