Calculus Examples

$\int \sqrt{4 - 2 t} d t$

Step 1

Factor $2$ out of $4 - 2 t$ .

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Step 1.1

Factor $2$ out of $4$ .

$\frac{d}{d x} [\int \sqrt{2 (2) - 2 t} d t]$

Step 1.2

Factor $2$ out of $- 2 t$ .

$\frac{d}{d x} [\int \sqrt{2 (2) + 2 (- t)} d t]$

Step 1.3

Factor $2$ out of $2 (2) + 2 (- t)$ .

$\frac{d}{d x} [\int \sqrt{2 (2 - t)} d t]$

Step 2

Since $\int \sqrt{2 (2 - t)} d t$ is constant with respect to $x$ , the derivative of $\int \sqrt{2 (2 - t)} d t$ with respect to $x$ is $0$ .

$0$