Question

What is the integral of a constant?

Answer 1

The indefinite integral (with respect to `x`) of the constant function `C` is `Cx + D`, where `D` is an arbitrary constant.

This question can be solved easily noting that

`d/dx[Cx+D]=C`

and aplying the fundamental theorem of calculus:

`int C dx = int d/dx[Cx+D] dx = Cx+D`