Calculus I, Section 5.2, #48 The Definite Integral
Calculus I, Section 5.2, #48 The Definite Integral
If
8 2
f
(x)
dx
=
7.3
and
4 2
f
(x)
dx
=
5.9,
find
8 4
f
(x)
dx.1
We apply the property
c
b
b
f (x) dx + f (x) dx = f (x) dx
a
c
a
to the given integrals.
8
4
8
f (x) dx = f (x) dx + f (x) dx
2
2
4
8
7.3 = 5.9 + f (x) dx
4
8
7.3 - 5.9 = f (x) dx
4
8
1.4 = f (x) dx
4
1Stewart, Calculus, Early Transcendentals, p. 390, #48.
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