# Step-by-step Solution

## Integrate $x^{\frac{1}{4}}$ from $3$ to $17$

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### Videos

$24.4568$

## Step-by-step explanation

Problem to solve:

$\int_3^{17}\left(\sqrt[4]{x}\right)dx$
1

Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function, and equals $\frac{1}{4}$

$\left[\frac{4}{5}\sqrt[4]{x^{5}}\right]_{3}^{17}$
2

Evaluate the definite integral

$24.4568$

$24.4568$

### Problem Analysis

$\int_3^{17}\left(\sqrt[4]{x}\right)dx$

### Main topic:

Definite integrals

~ 1.05 seconds