# Step-by-step Solution

## Integrate $\frac{8}{\sqrt{x}}$ from $3$ to $9$

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### Videos

$20.2872$

## Step-by-step explanation

Problem to solve:

$\int_3^9\left(\frac{8}{\sqrt{x}}\right)dx$
1

Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$

$\int_{3}^{9}8x^{-\frac{1}{2}}dx$
2

Take the constant out of the integral

$8\int_{3}^{9} x^{-\frac{1}{2}}dx$

$20.2872$
$\int_3^9\left(\frac{8}{\sqrt{x}}\right)dx$

### Main topic:

Definite integrals

~ 0.81 seconds

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