Calculus Examples

$\int_{12}^{80} x^{- \frac{5}{6}} d x$

Step 1

By the Power Rule, the integral of $x^{- \frac{5}{6}}$ with respect to $x$ is $6 x^{\frac{1}{6}}$ .

$6 x^{\frac{1}{6}}]_{12}^{80}$

Step 2

Evaluate $6 x^{\frac{1}{6}}$ at $80$ and at $12$ .

$6 \cdot 80^{\frac{1}{6}} - 6 \cdot 12^{\frac{1}{6}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$6 \cdot 80^{\frac{1}{6}} - 6 \cdot 12^{\frac{1}{6}}$

Decimal Form:

$3.37617529 \dots$

Step 4