Chapter 5, Section 2, Example 1 (page 243)

Plot3D[
{1+y,0},
{x,0,1},{y,0,2-2x},
ColorFunction->"Rainbow",
SphericalRegion->True,
AspectRatio->1,
AxesOrigin->{0,0,0},
ImageSize->600,
AxesStyle->Black,
Mesh->None,
PlotRange->{{-.2,1.2},{-.2,2.2},{0,3}}
]

(∫_0^1)(∫_0^(2-2x))(∫_0^((1+y)))\[DifferentialD]z\[DifferentialD]y\[DifferentialD]x

Chapter 5, Section 3, Example 1 (page 249-252)

Show[
Plot[{(x^2),0,1},
{x,0,1},
PlotRange->{-0.1,1.1},
AspectRatio->1,
ImageSize->400],
RegionPlot[
y<(x^2),
{x,0,1},{y,0,1},
PlotStyle->LightOrange
]
]

(∫_0^1)(∫_0^(x^2))\[DifferentialD]y\[DifferentialD]x