Theory of Riemann integral If f is bounded and integrable on [a, b] such that| f(x) | 0).IS

Given: f is bounded and integrable on a,b. fx≤k for all x∈a,b To prove: ∫abfdx≤kb-a, k>0…

Answered: If f is bounded and integrable on [a,…

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If f is bounded and integrable on [a, b] such that | f(x) | 0).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.2: Applications Of Extrema

Problem 1YT: Find two nonnegative number x and y for which x+3y=30, such that x2y is maximized.

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Question

Theory of Riemann integral

If f is bounded and integrable on [a, b] such that
| f(x) | <k
* хE[a, b], then
b.
| f dx <k | b-a| (k>0).
IS

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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