Calculus Examples

$\int_{17}^{150} x^{- \frac{6}{7}} d x$

Step 1

By the Power Rule, the integral of $x^{- \frac{6}{7}}$ with respect to $x$ is $7 x^{\frac{1}{7}}$ .

$7 x^{\frac{1}{7}}]_{17}^{150}$

Step 2

Evaluate $7 x^{\frac{1}{7}}$ at $150$ and at $17$ .

$7 \cdot 150^{\frac{1}{7}} - 7 \cdot 17^{\frac{1}{7}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$7 \cdot 150^{\frac{1}{7}} - 7 \cdot 17^{\frac{1}{7}}$

Decimal Form:

$3.82839190 \dots$

Step 4