- #1
babbagee
- 74
- 0
Ok the question is
find the volume of the region inside the surface z = x2 + y2 and between z = 0 and z = 10.
Ok i have already found the limits of integration but i am having a hard time calculating the integral.
The limits are [tex]-{\sqrt{10-x^2}[/tex] <= y <= [tex]{\sqrt{10-x^2}[/tex]
[tex]-{\sqrt{10}[/tex] <= x <= [tex]{\sqrt{10}[/tex]
I am integrating with respect to y first and then x.
The problem is after i integrate with respect to y i get a really hard integral which i tried soliving by trignometric substitution but i just made more complicated.
Can someone help me out please
thanks
find the volume of the region inside the surface z = x2 + y2 and between z = 0 and z = 10.
Ok i have already found the limits of integration but i am having a hard time calculating the integral.
The limits are [tex]-{\sqrt{10-x^2}[/tex] <= y <= [tex]{\sqrt{10-x^2}[/tex]
[tex]-{\sqrt{10}[/tex] <= x <= [tex]{\sqrt{10}[/tex]
I am integrating with respect to y first and then x.
The problem is after i integrate with respect to y i get a really hard integral which i tried soliving by trignometric substitution but i just made more complicated.
Can someone help me out please
thanks