Calculus Examples

$\int 5 (t^{2} - 5 t - 2) d x$

Step 1

Apply the distributive property.

$\frac{d}{d x} [\int 5 t^{2} + 5 (- 5 t) + 5 \cdot - 2 d x]$

Step 2

Simplify.

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Step 2.1

Multiply $- 5$ by $5$ .

$\frac{d}{d x} [\int 5 t^{2} - 25 t + 5 \cdot - 2 d x]$

Step 2.2

Multiply $5$ by $- 2$ .

$\frac{d}{d x} [\int 5 t^{2} - 25 t - 10 d x]$

Step 3

Since $\int 5 t^{2} - 25 t - 10 d x$ is constant with respect to $x$ , the derivative of $\int 5 t^{2} - 25 t - 10 d x$ with respect to $x$ is $0$ .

$0$