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Hi,

let f be a continuous function on the interval (a,b)

then is the integral of f between x0 and x, where both x0 and x are in (a,b), also continuous on (a,b)?

Please direct me to an internet reference that answers the question, or simply just supply me with an answer.

Thanks for your time.

Yes, integration is a "smoothing" process.

Check these:

http://www.physicsforums.com/showthread.php?t=358567

http://www.math.ku.edu/~lerner/m500f09/Integration%20theory.pdf

http://en.wikipedia.org/wiki/Continuous_function#Relation_to_differentiability_a

Abe

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Calculus

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Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Over 15 years teaching at the college level.**Organizations**

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B.S. in Mathematics from Rensselaer Polytechnic Institute

M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook