3 · [²³ F(x) Given 6 ³ fº f(x) f(x) dx = 9 and Exercise (a) 6 [° F(x) f(x) dx = -8, evaluate the following. f(x) dx

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.4: The Fundamental Theorem Of Calculus
Problem 62E
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Question
Given
[³ f(x
Step 1
f(x) dx = 9 and
Exercise (a)
Exercise (b)
Step 1
Step 1
To evaluate the integrals, use the additive interval property of integrals which is given as follows.
Therefore,
If f is integrable on the three closed intervals determined by a, b, and c, then
[ f(x) dx = [ f(x) dx + [° f(x) dx
$fºr
[ f(x) dx
[ f(x) dx
Note that
Exercise (c)
f(x) dx = -8, evaluate the following.
Submit Skip (you cannot come back)
² [² f(x) dx = - fo
Submit Skip (you cannot come back)
[ f(x) dx
x
Submit Skip (you cannot come back)
X
f(x) dx.
Recall that if f is defined at x = a, then we define
+6²
f(x) dx +
= [₁ f(x) dx = [
x
f(x) dx
Transcribed Image Text:Given [³ f(x Step 1 f(x) dx = 9 and Exercise (a) Exercise (b) Step 1 Step 1 To evaluate the integrals, use the additive interval property of integrals which is given as follows. Therefore, If f is integrable on the three closed intervals determined by a, b, and c, then [ f(x) dx = [ f(x) dx + [° f(x) dx $fºr [ f(x) dx [ f(x) dx Note that Exercise (c) f(x) dx = -8, evaluate the following. Submit Skip (you cannot come back) ² [² f(x) dx = - fo Submit Skip (you cannot come back) [ f(x) dx x Submit Skip (you cannot come back) X f(x) dx. Recall that if f is defined at x = a, then we define +6² f(x) dx + = [₁ f(x) dx = [ x f(x) dx
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