which is called the definite integral of f from a tob. The function f(x) = /x is continuous on [0, 4] and therefore integrable on this interval. Evaluat 4 Vrdx by using the definition above. Use subintervals of unequal length given by the partition 4. 12 0 < n2 4. 22 く n2 4 (n – 1)? < 4 く ... n2

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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F(x)ax =
lim
maxAx→0
k-1
which is called the definite integral of f froma to b.
The function f(x) = Vx is continuous on [0, 4] and therefore integrable on this interval. Evaluate
4
| Vzdx
by using the definition above. Use subintervals of unequal length given by the partition
4. 12
0 <
n2
4 22
<.
4 · (n – 1)?
< -
< 4
n2
n2
and let x be the right endpoint of the kth subinterval.
Enter the exact answer.
4
Vxdx
Transcribed Image Text:F(x)ax = lim maxAx→0 k-1 which is called the definite integral of f froma to b. The function f(x) = Vx is continuous on [0, 4] and therefore integrable on this interval. Evaluate 4 | Vzdx by using the definition above. Use subintervals of unequal length given by the partition 4. 12 0 < n2 4 22 <. 4 · (n – 1)? < - < 4 n2 n2 and let x be the right endpoint of the kth subinterval. Enter the exact answer. 4 Vxdx
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