Calculus Examples

25 p \int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x

$25 p \int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x$

Step 1

Since

25 p

$25 p$ is constant with respect to

x

$x$ , the derivative of

25 p \int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x

$25 p \int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x$ with respect to

x

$x$ is

25 p \frac{d}{d x} [\int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x]

$25 p \frac{d}{d x} [\int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x]$ .

25 p \frac{d}{d x} [\int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x]

$25 p \frac{d}{d x} [\int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x]$

Step 2

Once

\int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x

$\int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x$ has been evaluated, it will be constant with respect to

x

$x$ , so the derivative of

\int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x

$\int_{0}^{6} {(1 - \frac{x}{3})}^{2} d x$ with respect to

$x$ is

$0$ .

$25 p \cdot 0$

Step 3

Multiply by zero.

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Step 3.1

Multiply

$0$ by

$25$ .

$0 p$

Step 3.2

Multiply

$0$ by

$p$ .

$0$