Calculus Examples

$F (x) = 2 + \int_{0}^{x} f (t) d t$

Step 1

Since

$F$ is constant with respect to

$x$ , the derivative of

$F x$ with respect to

$x$ is

$F \frac{d}{d x} [x]$ .

$F \frac{d}{d x} [x]$

Step 2

Differentiate using the Power Rule which states that

$\frac{d}{d x} [x^{n}]$ is

$n x^{n - 1}$ where

$n = 1$ .

$F \cdot 1$

Step 3

Multiply

$F$ by

$1$ .

$F$