MAT1A3E:
Antiderivatives
Week 7
,Chapter 3 was all about how to go from a
function f to its derivative f 0.
This section is about going in the opposite
direction.
That is, if we are given some function f ,
what is the function F such that F 0 = f .
,Antiderivatives:
A function F is an antiderivative of f
on an interval I if
F 0(x) = f (x)
for all x ∈ I.
, Example: F (x) = x2 is an antiderivative of
f (x) = 2x as F 0(x) = 2x2−1 = 2x = f (x).
Antiderivatives
Week 7
,Chapter 3 was all about how to go from a
function f to its derivative f 0.
This section is about going in the opposite
direction.
That is, if we are given some function f ,
what is the function F such that F 0 = f .
,Antiderivatives:
A function F is an antiderivative of f
on an interval I if
F 0(x) = f (x)
for all x ∈ I.
, Example: F (x) = x2 is an antiderivative of
f (x) = 2x as F 0(x) = 2x2−1 = 2x = f (x).
