Page 347 - Calculus Demystified

334
π Final Exam
2
2
91. The value of the integral sin x cos xdx is
0
π
(a)
6
π
(b)
4
π
(c)
3
π
(d)
2
π
(e)
8
π/4
2
92. The value of the integral tan xdx is
0
π
(a) 1 −
3
π
(b) 2 −
4
π
(c) 1 −
2
π
(d) 1 −
4
(e) 4 − π
93. A solid has base in the x-y plane that is the circle of radius 1 and center the
origin. The vertical slice parallel to the y-axis is a semi-circle. What is the
volume?
4π
(a)
3
2π
(b)
3
π
(c)
3
8π
(d)
3
π
(e)
6
94. A solid has base in the x-y plane that is a square with center the origin and
vertices on the axes. The vertical slice parallel to the y-axis is an equilateral
triangle. What is the volume?
√
2 3
(a)
3