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Solving integrals/ x^(1/4)

Integral of x^(1/4) dx

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 |  4 ___   
 |  \/ x  dx
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$$\int\limits_{0}^{1} \sqrt[4]{x}\, dx$$

Integral(x^(1/4), (x, 0, 1))

Detail solution

The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :

$\int \sqrt[4]{x}\, dx = \frac{4 x^{\frac{5}{4}}}{5}$
Add the constant of integration:

$\frac{4 x^{\frac{5}{4}}}{5}+ \mathrm{constant}$

The answer is:

$\frac{4 x^{\frac{5}{4}}}{5}+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | 4 ___          4*x   
 | \/ x  dx = C + ------
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$$\int \sqrt[4]{x}\, dx = C + \frac{4 x^{\frac{5}{4}}}{5}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

4/5

$$\frac{4}{5}$$

4/5

$$\frac{4}{5}$$

4/5

Numerical answer [src]

0.8

0.8

The graph

Use the examples entering the upper and lower limits of integration.