Using Properties of Definite Integrals In Exercises 7 and 8, use the values ∫ 0 5 f(x) dx = 6 and ∫ 0 5 g ( x ) d x = 2 to evaluate each definite integral. ∫ 0 5 [ f ( x ) + g ( x ) ] d x ( b ) ∫ 0 5 [ ( f ( x ) − g ( x ) ] d x (c) ∫ 0 5 − 4 f ( x ) d x ( d ) ∫ 0 5 [ ( f ( x ) − 3 g ( x ) ] d x
Solution Summary: The author explains how to calculate the definite integral of function displaystyle
Using Properties of Definite Integrals In Exercises 7 and 8, use the values
∫
0
5
f(x) dx = 6 and
∫
0
5
g
(
x
)
d
x
=
2
to evaluate each definite integral.
∫
0
5
[
f
(
x
)
+
g
(
x
)
]
d
x
(
b
)
∫
0
5
[
(
f
(
x
)
−
g
(
x
)
]
d
x
(c)
∫
0
5
−
4
f
(
x
)
d
x
(
d
)
∫
0
5
[
(
f
(
x
)
−
3
g
(
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.
Integration of Other Transcendental Functions: Evaluate the following integrals.
Calculus
What are the properties of an integral function? That is, if f is continuous on [a, b] and we define g(x) = R x a f(t)dt, what can we say about g?
Integration techniques Use the methods introduced evaluate the following integrals.
∫x2 cos x dx
Chapter 5 Solutions
Calculus: An Applied Approach (MindTap Course List)
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