The function f(x) = /x is continuous on [0, 64] and therefore integrable on this interval. Evaluate %3D 64 Vädx by using the definition above. Use subintervals of unequal length given by the partition 64 · 1² 0 < n2 64 · 22 64 (n – 1)² < ... < < 64 n- n- and let x be the right endpoint of the kth subinterval. Enter the exact answer. 64 / Vädx: %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1.
The function f(x) = Vx is continuous on [0, 64] and therefore integrable on this interval. Evaluate
%3D
64
Vxdx
by using the definition above. Use subintervals of unequal length given by the partition
64 · 1²
0 <
n2
64 · 2²
64 (n – 1)²
< 64
< ... <
n-
n-
and let x be the right endpoint of the kth subinterval.
Enter the exact answer.
64
/ Vxdx:
%3D
Transcribed Image Text:The function f(x) = Vx is continuous on [0, 64] and therefore integrable on this interval. Evaluate %3D 64 Vxdx by using the definition above. Use subintervals of unequal length given by the partition 64 · 1² 0 < n2 64 · 2² 64 (n – 1)² < 64 < ... < n- n- and let x be the right endpoint of the kth subinterval. Enter the exact answer. 64 / Vxdx: %3D
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