Calculus Examples

$- \frac{π}{2} + 4 π$

Step 1

To write $4 π$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{π}{2} + 4 π \cdot \frac{2}{2}$

Step 2

Combine fractions.

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Step 2.1

Combine $4 π$ and $\frac{2}{2}$ .

$- \frac{π}{2} + \frac{4 π \cdot 2}{2}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{- π + 4 π \cdot 2}{2}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $2$ by $4$ .

$\frac{- π + 8 π}{2}$

Step 3.2

Add $- π$ and $8 π$ .

$\frac{7 π}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7 π}{2}$

Decimal Form:

$10.99557428 \dots$