Larson_Calculus_10e ch04sec03
MULTIPLE CHOICE
1. Evaluate the following definite integral by the limit definition.
a.
b.
c.
d.
e.
2. Evaluate the following definite integral by the limit definition.
a.
4375
b.
c.
4372
d.
1125
e.
3. Evaluate the following definite integral by the limit definition.
a.
–216
b.
240
c.
–240
d.
192
e.
216
4. Write the following limit as a definite integral on the interval [2 , 5], where ci is any point in the ith
subinterval.
a.
b.
c.
d.
e.
5. Write the limit , as a definite integral on the interval where is
any point in the subinterval.
a.
b.
c.
d.
e.
6. Write the following limit as a definite integral on the interval where ci is any point in the
subinterval.
a.
b.
c.
d.
e.
7. Write the limit , as a definite integral on the interval , where ci is any point
in the subinterval.
a.
b.
c.
d.
e.
8. The graph of the function is given below. Which of the following definite integrals
yields the area of the shaded region?
a.
b.
c.
d.
e.
9. The graph of the function is given below. Which of the following definite integrals yields
the area of the shaded region?
a.
b.
c.
d.
e.
10. Sketch the region whose area is given by the definite integral and then use a geometric formula to
evaluate the integral.
a.
30
b.
15
c.
4
d.
34
e.
–17
11. Sketch the region whose area is given by the definite integral and then use a geometric formula to
evaluate the integral.
a.
–158
b.
12
c.
80
d.
82
e.
–160
12. Sketch the region whose area is given by the definite integral and then use a geometric formula to
evaluate the integral.
a.
–1
b.
1
c.
2
d.
4
e.
15
13. Sketch the region whose area is given by the definite integral and then use a geometric formula to
evaluate the integral.
a.
b.
c.
d.
e.
14. Sketch the region whose area is given by the definite integral and then use a geometric formula to
evaluate the integral.
a.
b.
c.
d.
e.
15. Evaluate the integral.
given,
a.
–156
b.
156
c.
1,016
d.
24
e.
6,630
16. Evaluate the integral.
given,
a.
–180
b.
16
c.
–10169
d.
–11522
e.
–179
17. Evaluate the integral.
given,
a.
–36
b.
–146
c.
–114
d.
4
e.
–58
18. Evaluate the integral.
given,
a.
–65
b.
–2377
c.
–66
d.
–2024
e.
–2025
19. The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral
using geometric formulas.
a.
4
b.
3
c.
1
d.
2
e.
5
