Calculus Examples

$\frac{f (- 1) - f \cdot - 2}{(- 1) - (- 2)}$

Step 1

Simplify.

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Step 1.1

Move $- 1$ to the left of $f$ .

$\int \frac{- 1 f - f \cdot - 2}{(- 1) - (- 2)} d f$

Step 1.2

Rewrite $- 1 f$ as $- f$ .

$\int \frac{- f - f \cdot - 2}{(- 1) - (- 2)} d f$

Step 1.3

Multiply $- 2$ by $- 1$ .

$\int \frac{- f + 2 f}{(- 1) - (- 2)} d f$

Step 1.4

Add $- f$ and $2 f$ .

$\int \frac{f}{(- 1) - (- 2)} d f$

Step 1.5

Multiply $- 1$ by $- 2$ .

$\int \frac{f}{- 1 + 2} d f$

Step 1.6

Add $- 1$ and $2$ .

$\int \frac{f}{1} d f$

Step 1.7

Divide $f$ by $1$ .

$\int f d f$

Step 2

By the Power Rule, the integral of $f$ with respect to $f$ is $\frac{1}{2} f^{2}$ .

$\frac{1}{2} f^{2} + C$