Question

True of False:
All continuous functions have antiderivatives

Answer 1

All continuous functions are not necessarily differentiable everywhere.
Think about f(x)=|x|! It is continuous everywhere but not differentiable everywhere.

Answer 2

But this is asking for antideriv's

Answer 3

Oh I didn't read the anti part

Answer 4

I would say yes...

Answer 5

If the function was discontinuous, then the answer would be maybe

Answer 6

it would depend on if the definite integral converge

Answer 7

but yes for continuous functions! :)