Calculus Examples

$A (x) = \int_{1}^{x} \sin (e^{t}) d t$

Step 1

Since $A$ is constant with respect to $x$ , the derivative of $A x$ with respect to $x$ is $A \frac{d}{d x} [x]$ .

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

Step 2

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 1$ .

$A \cdot 1$

Step 3

Multiply $A$ by $1$ .

$A$