antiderivative
Undoes a derivative
An antiderivative is a function whose derivative equals a given function—the reverse of differentiation.
If the derivative of F(x) is f(x), then F(x) is an antiderivative of f(x).
Any function has infinitely many antiderivatives, differing only by a constant.
Finding antiderivatives is the core operation of integral calculus: The antiderivative of 2x is x² plus a constant.
functions
Expression with variable terms
- sineOpposite over hypotenuse
- cosineRatio in triangle math
- arctangentInverse tangent function
calculus
In earliest form
- integrationCombining into a whole
- differentiationRecognizing meaningful differences
- NewtonFamous scientific surname
- LeibnizBaroque-era polymath philosopher-mathematician
polynomial
Expression with variable terms
- sineOpposite over hypotenuse
- cosineRatio in triangle math
- arctangentInverse tangent function
primitive
In earliest form
- integrationCombining into a whole
- differentiationRecognizing meaningful differences
- NewtonFamous scientific surname
u-substitution
Integration via variable change
- integralsintegrand, integral calculus, u-substitution, substitution, quadrature