Volumes theory (1 Viewer)

[J-Wang]

When determing the volume between a curve and a line by slices, I found i had to integrate in terms of y. Is it possible to just differentiate the original function to get dy in terms of dx and integrate that?

 

[Fus Ro Dah]

Never heard of this technique before.

 

[Aykay]

Yes, you can change your integral to be in terms of dx by doing what you said.
Just be careful that you change the limits.

 

[Siddy123]

yeah if u gotta integrate with respect to y, but the equation is all x.
u can:
a) rearrange given eq'ns and sub for x, and then integrate.
b) dy/dx original function you'll get the derivative times ( dy or dx) but remebrr u gotta change limits!