Let f be the function defined by f (x) = cos(/x). OS sin() (c) It is known that f' (x) = cos() and f" (æ) = sin(a) Would a trapezoidal sum 4x approximation for | f(x) dx overestimate or •3 underestimate the value of f (x) dæ ? Give a reason for your answer. 3 (d) Write | f(x) dx as the limit of a right Riemann sum with n subintervals of equal length.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let f be the function defined by f (x) = cos(/x).
(c) It is known that f' (x)
sin(/a)
and
sin(T)
cos(/7)
f" (x) =
Would a trapezoidal sum
4x
3
approximation for
f (x) dx overestimate or
3
underestimate the value of
| f(x) dx?Give a reason
for
your answer.
3
(d) Write
f (x) dx as the limit of a right Riemann sum
with n subintervals of equal length.
Transcribed Image Text:Let f be the function defined by f (x) = cos(/x). (c) It is known that f' (x) sin(/a) and sin(T) cos(/7) f" (x) = Would a trapezoidal sum 4x 3 approximation for f (x) dx overestimate or 3 underestimate the value of | f(x) dx?Give a reason for your answer. 3 (d) Write f (x) dx as the limit of a right Riemann sum with n subintervals of equal length.
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