Calculus Examples

$F (x) = \int_{1}^{x^{2} + 1} \frac{2 t + 2}{\sqrt{t + 1}} d t$

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 $1$ .

$F$