Matched Problem 3 Referring to the figure for Example 3, calculate the definite integral (A) ∫ a 0 f ( x ) d x (B) ∫ 0 c f ( x ) d x (C) ∫ 0 b f ( x ) d x EXAMPLE 3 Definite Integrals Calculate the definite integrals by referring to Figure 9. (A) ∫ a b f ( x ) d x (B) ∫ a c f ( x ) d x (C) ∫ b c f ( x ) d x
Matched Problem 3 Referring to the figure for Example 3, calculate the definite integral (A) ∫ a 0 f ( x ) d x (B) ∫ 0 c f ( x ) d x (C) ∫ 0 b f ( x ) d x EXAMPLE 3 Definite Integrals Calculate the definite integrals by referring to Figure 9. (A) ∫ a b f ( x ) d x (B) ∫ a c f ( x ) d x (C) ∫ b c f ( x ) d x
Solution Summary: The above integral indicates the sum of area of the region A, from a to 0. The regions A lies in third quadrant with its area 2.33.
Matched Problem 3 Referring to the figure for Example 3, calculate the definite integral
(A)
∫
a
0
f
(
x
)
d
x
(B)
∫
0
c
f
(
x
)
d
x
(C)
∫
0
b
f
(
x
)
d
x
EXAMPLE 3 Definite Integrals Calculate the definite integrals by referring to Figure 9.
(A)
∫
a
b
f
(
x
)
d
x
(B)
∫
a
c
f
(
x
)
d
x
(C)
∫
b
c
f
(
x
)
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Chapter 5 Solutions
Calculus for Business Economics Life Sciences and Social Sciences Plus NEW
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