93
Chapter 11: Applications of Integration
706. The region is bounded by the curves y x
= 1 ,
y = 0, x = 1, and x = 3 and is rotated about
the line x = 4.
707. The region is bounded by the curves
y
x
=
and y = x
3
and is rotated about the
line y = 1.
708. The region is bounded by the curves
y
x
=
+2, y = x, and y = 0 and is rotated
about the x-axis.
709. The region is bounded by the curves
y
e
x
=
−
1
2
2 2
π
, y = 0, x = 0, and x = 1 and is
rotated about the y-axis.
710. The region is bounded by the curves y x
=
,
y = ln x, x = 1, and x = 2 and is rotated about
the y-axis.
711. The region is bounded by the curves
x = cos y, y = 0, and y = π
2 and is rotated
about the x-axis.
699. The region is bounded by the curves
y = 1 – x
2
and y = 0 and is rotated about
the line x = 2.
700. The region is bounded by the curves
y = 5 + 3x – x
2
and 2x + y = 5 and is rotated
about the y-axis.
701. The region is bounded by the curves
x + y = 5, y = x, and y = 0 and is rotated
about the line x = –1.
702. The region is bounded by the curves
y = sin(x
2
), x = 0, x = π , and y = 0 and
is rotated about the y-axis.
703. The region is bounded by the curves x = e
 y
,
x = 0, y = 0, and y = 2 and is rotated about
the x-axis.
704. The region is bounded by the curves
y e
x
=
−
2
, y = 0, x = 0, and x = 3 and is rotated
about the y-axis.
705. The region is bounded by the curves
x = y
3
and y = x
2
and is rotated about
the line x = –1.