Thread: The volume of the T

1. The volume of the T

Hello, I've got a $\displaystyle T$ region in $\displaystyle \mathbb{R}^3$. I need to find its volume.

$\displaystyle T = \left\{(x, y, z) \in \mathbb{R}^3; 0 \leq y \leq 4; x^2 \leq z \leq 2 - x\right\}$.

How to find triple integral here? I know the $\displaystyle f(x, y, z) = 1$, but how to find the appropriate bounds for $\displaystyle x$?

2. Re: The volume of the T

to find the bounds for $x$ set $x^2=2-x$