- #1
DryRun
Gold Member
- 838
- 4
Homework Statement
Evaluate the double integral:
http://s1.ipicture.ru/uploads/20111224/K3MGcdS7.jpg
The attempt at a solution
Consider x as constant, first integrate w.r.t.y.
I get
[tex]\frac{xy^2}{2}[/tex]
After evaluating the integral with limits y=0 to y=y, i get the same exact answer.
Then, i integrate the above w.r.t.x
I get
[tex]\frac{x^2 y^2}{4}[/tex]
Applying the limits x=0 to x=1
I get the final answer as:
[tex]\frac{y^2}{4}[/tex]
However, the answer in my notes says: 1/8
Also, i don't understand why i must always first integrate w.r.t.y then w.r.t.x and not vice versa?
Evaluate the double integral:
http://s1.ipicture.ru/uploads/20111224/K3MGcdS7.jpg
The attempt at a solution
Consider x as constant, first integrate w.r.t.y.
I get
[tex]\frac{xy^2}{2}[/tex]
After evaluating the integral with limits y=0 to y=y, i get the same exact answer.
Then, i integrate the above w.r.t.x
I get
[tex]\frac{x^2 y^2}{4}[/tex]
Applying the limits x=0 to x=1
I get the final answer as:
[tex]\frac{y^2}{4}[/tex]
However, the answer in my notes says: 1/8
Also, i don't understand why i must always first integrate w.r.t.y then w.r.t.x and not vice versa?