Antiderivative F for f
A function F is called an antiderivative of f on an interval I if F is differentiable on I and for all x∈I
F′(x)=f(x).
The family of antiderivatives on I differs by an arbitrary constant C∈R:
if F is one antiderivative, then all antiderivatives are F(x)+C.
Thus, to list “all antiderivatives” on a connected interval means giving F(x)+C for a fixed F and arbitrary C∈R.
The interval I matters: on a union of two disjoint pieces the constants may differ on different pieces
Content is available with subscription.
Get full access to all courses on the platform for one year with a single payment.
▼
Unlike other platforms that charge per course, here you get everything for one price, and after one year of use there will be no automatic charge for the following year.