Suppose that g is a Riemann integrable function on [0.3, 31.5] and f(x) = g(x) except for the values of x e [0.3,31.5] n N. a) Enumerate all the values of x in which f(x) # g(x). b) Is f also a Riemann integrable function on [0.3,31.5]? Why?

Suppose that g is a Riemann integrable function on [0.3, 31.5] and f(x) = g(x) except for the values of x e [0.3,31.5] n N. a) Enumerate all the values of x in which f(x) # g(x). b) Is f also a Riemann integrable function on [0.3,31.5]? Why?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Suppose that K is a Riemann integrable function on [0.3, 31.5] and 7(9) = K(9)
except for the values of 9 ∈ [0.3, 31.5] ∩ ℕ.
a) Enumerate all the values of 9 in which 7(9) ≠ K(9).
b) Is 7 also a Riemann integrable function on [0.3, 31.5]? Why?

Suppose that g is a Riemann integrable function on [0.3, 31.5] and f(x) = g(x)
except for the values of x e [0.3,31.5] n N.
a) Enumerate all the values of x in which f(x) # g(x).
b) Is f also a Riemann integrable function on [0.3,31.5]? Why?

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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