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plzzz tell me what type of example you want
if you can give any function then we integrate it or in other word take the anti derivative...
eg
f=x²
the derivative will be
df/dx=2x
now the antiderivative of 2x will be
int(2x)dx = 2(x²/2)+c
or simply x²+c
where c is a constant let say the function is x²+1 then c will be representing "1"
hope that will help you...!!!
My understanding is that we can take derivative of those functions only which are properly defined. If a function is undefined at some point then its derivative can not be taken, it means that the function can not be explained at that point. As for as antiderivative is concerned, you take integral of the function.
For example, derivative of (sin(x)) is (cos(x)) w.r.t. x and its antiderivative will be taking integral of the (sin(x)).
f=x²
the derivative will be
df/dx=2x
now the antiderivative of 2x will be
int(2x)dx = 2(x²/2)+c
or simply x²+c
where c is a constant let say the function is x²+1 then c will be representing "1"
hope that will help you...!!!
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