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.
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