Question

true or false:
A function has one and only one antiderivative

Answer 1

most have none

Answer 2

nope, and that's exactly the reason why we put the C at the end of each integral.

Answer 3

but you are supposed to say "false"

Answer 4

wait what

Answer 5

yeah it would be false

Answer 6

for the reason @kc_kennylau wrote above

Answer 7

but you said "most have none"?

Answer 8

yes most have none
if you put all functions in a hat, (a very large hat, obviously) and pick one at random, the probability that it will be integrable is zero

Answer 9

lolz

Answer 10

less likely still is the probability that it will have a nice closed form for an anti derivative