Integration as the Inverse of Differentiation
The reverse process of finding a derivative, and some basic standard results.
Indefinite Integrals
If $\frac{d}{dx}F(x) = f(x)$, then $F(x)$ is called the antiderivative or indefinite integral of $f(x)$:
$$\int f(x)\,dx = F(x) + C$$Standard Integrals
$$\int x^n\,dx = \frac{x^{n+1}}{n+1} + C, \quad n \neq -1$$$$\int \cos x\,dx = \sin x + C$$Lesson 17 of 32