What is the antiderivative of #2x#?
There are many antiderivatives of
An antiderivative of
Any (every) function that can be expressed in the form
The general antiderivative is expressed by choosing one of the antiderivatives and adding an "arbitrary constant" usually named
It is convenient (but not required) to choose the first antiderivative on the list above and say:
The (most) general antiderivative of
Strange but true
According to the definition of general antiderivative, we can also say "The (most) general antiderivative of
Important! -- check you textbook's definition (and your grader's sense of humor) before using this smart-alecky answer on an exam!