Answer:
Therefore, we get that the volume of the solid is V=8/3 · 17^{3/2}.
Step-by-step explanation:
From exercise we have that
0 ≤ x ≤ 17
y = -2 √x and y = 2 √x.
We calculate the volume of the solid, we get:
\int\limits^17_0 \int\limits^{2 √x}_{-2 √x} {1} \, dy \, dx=
=\int\limits^17_0 [y]\limits^{2 √x}_{-2 √x} \, dx
=\int\limits^17_0 {(2 √x+2 √x)} \, dx
=4\int\limits^17_0 {√x} \, dx
=4 · 2/3 [x]\limits^17_0
=8/3 · 17^{3/2}
Therefore, we get that the volume of the solid is V=8/3 · 17^{3/2}.
