Double Integrals

**jason0** · March 24th 2010, 01:15 PM

I have two questions that I've been having problems with, mainly finding the bounds of x and y, if anyone could help me with that part of the problem it would be greatly appreciated, thanks

for this one, since it's an average value, do the bounds have to be numbers and not functions for both x and y?

**11rdc11** · March 24th 2010, 01:37 PM

Originally Posted by jason0

I have two questions that I've been having problems with, mainly finding the bounds of x and y, if anyone could help me with that part of the problem it would be greatly appreciated, thanks

for this one, since it's an average value, do the bounds have to be numbers and not functions for both x and y?

for the first one

$\int^{\frac{1}{4}}_{0}\int^{\sqrt{x}}_{2x} ye^x dydx$

**11rdc11** · March 24th 2010, 01:45 PM

The formula is

$\frac{1}{area} \int\int f(x,y) dydx$

**jason0** · March 24th 2010, 04:56 PM

Originally Posted by 11rdc11

for the first one

$\int^{\frac{1}{4}}_{0}\int^{\sqrt{x}}_{2x} ye^x dydx$

i got the second one but am still struggling with this one, can anyone help me out with the actual integration?

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