minimal entity page
constant c
[constant c|constant c] is a constant such that when added to an antiderivative F(x), it forms another antiderivative of f over J.
Definition
constant c is a constant such that when added to an antiderivative F(x), it forms another antiderivative of f over J. This constant also determines the specific antiderivative satisfying an initial condition like y(0) = 5.
Mechanism
constant c represents a constant of integration. Every antiderivative of e* is of the form e* + constant c.
Effects
constant c affects the form of antiderivatives. Every antiderivative of 3x7 is of the form x°+C for some constant C, and every function of the form x° + C is an antiderivative of 3x7. Find all antiderivatives of f(x) = sinx.