TITLE: What's the integral of a constant?
QUESTION [6 upvotes]: If the derivative of a constant is $0$ then what is the integral of a constant?
What is the integral of $0$?

REPLY [4 votes]: The integral of a constant $C$ with respect to $x$ is $Cx + A$, $A$ constant. Applying this rule to the constant function $y(x) = 0$, $\int {0}dx = 0+A = A$.