694 B
694 B
Antiderivatives
An antiderivative is useful when you know the rate of change, and you want to find a point from that rate of change
A function
Fis said to be an antiderivative offifF'(x) = f(x)
Examples
Find the antiderivative of the function
y = x^2
- We know that
f'(x) = 2x
Formulas
| Differentiation Formula | Integration Formula |
|---|---|
\dfrac{d}{dx} x^n = nx^{x-1} |
\int x^n dx = \dfrac{1}{n+1}x^{n+1}+ C for n \ne -1 |
\dfrac{d}{dx} kx = k |
\int k \space dx = kx + C |