Posted by Adam on Wednesday, December 1, 2010 at 11:21pm.
I just need help with changing the order of integration. I can do the actually integral by myself. Thank you :)
int f(x,y) dydx
where y bounds= 1 to e^x and x bounds= 0 to 4
I thought the new bounds were
int f(x,y) dxdy
x= 0 to log(y) y= 1 to e^4
Please let me know if I'm on the right track thank you:)

CALC  MathMate, Thursday, December 2, 2010 at 12:08am
If you are finding the area bounded by y=1, y=54.6(approx), x=0, x=4, and f(x,y)=e^x, or any other onetoone function, and if the limits for
∫e^x dydx
are y=1,f(x,y), x=0,4
then
changing the order could be:
x=e^x to 4, y=1, e^4.
However, it depends on the properties of the function, is it onetoone, is it invertible, etc.
plot for e^x within the integration limits:
http://img829.imageshack.us/img829/1476/1291263700.png

CALC  Adam, Thursday, December 2, 2010 at 12:23am
Oh I see thank you
but the new bounds after you have changed the order shouldn't it be
x= log(y)to 4 > because I rearranged the bounds from y=e^x to x=log(y)?

CALC  MathMate, Thursday, December 2, 2010 at 6:51am
Yes, indeed. Don't understand why I didn't see it in the first place.

CALC  Adam, Friday, December 3, 2010 at 1:15am
Awesome thank you :)
Answer This Question
Related Questions
 Calc  Find the mass of the triangular region with vertices (0, 0), (2, 0), and...
 Algebra  I am not sure if I did this right, it is the theorem on bounds to ...
 college algebra  Use the theorem on bounds to establish the best integral ...
 college algebra  Use the theorem on bounds to establish the best integral ...
 college algebra  Use the theorem on bounds to establish the best integral ...
 college algebra  Use the theorem on bounds to establish the best integral ...
 maths  use an iterated integral to find area of region bounded by graphs sin(x...
 Calc 121  How do you integrate using substitution: the integral from 1 to 3 of...
 Calculus check  The functions f and g are given by f(x)=sqrt(x^3) and g(x)=16...
 Calculus  We're doing a lab in my Calc II class and I'm stuck on this question...
More Related Questions