If f is continuous on [a,b] then the fucntion g defined by(adsbygoogle = window.adsbygoogle || []).push({});

g(x) = ∫f(t)dt a <= x <= b is continuous on [a,b] and differentiable on (a,b) and g' = f

Question....

If f is continuous on [a,b], then why is g only differentiable on (a,b)?

This does not make sence... if g' = f g should be diff on [a,b] after making the first statement "f is continuous on [a,b]"

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# Question about fundamental thm calc part 1

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