Find the volume of the region bounded by $ z=1-y^2, z = 0, x= 2 , x = 4 $
I need clarification in finding the limit.
My work:
$0 \leq z \leq 1-y^2$
$1-y^2 = 0 $
$y = \pm 1 $
$-1 \leq y \leq 1$
$2 \leq x \leq 4$
Are the limits correct? Is the limit of y to be taken from negative to positive (or) from zero to positive?
That is $ -1 \leq y \leq 1 $ (or) $ 0 \leq y \leq 1 $ ? Please advise which is correct.