Calculus I, Section 5.2, #48 The Definite Integral

[Pages:1]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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