Answered: What are the properties of an integral…

What are the properties of an integral function? That is, if f is continuous on [a, b] and we define g(x) = R x a f(t)dt, what can we say about g?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 58E

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Question

Calculus

What are the properties of an integral function? That is, if f is continuous on [a, b] and we define g(x) = R x a f(t)dt, what can we say about g?

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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