Average Value of Functions on Intervals
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
What does the average value formula calculate?
QUESTION
Which theorem relates to the average value of continuous functions?
QUESTION
Which integral represents the average value of
f
(
x
)
f(x)
f
(
x
)
on
[
a
,
b
]
[a, b]
[
a
,
b
]
?
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ANSWER
1
b
−
a
×
∫
a
b
f
(
x
)
d
x
\frac{1}{b-a} \times \int_a^b f(x) \, dx
b
−
a
1
×
∫
a
b
f
(
x
)
d
x
. The fundamental formula for computing average value of any function.
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