Mister Exam

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Integral of d{x}:
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Integral of 4x+4
Graphing y =:
x^(-1/5)
Limit of the function:
x^(-1/5)
Identical expressions
x^(- one / five)
x to the power of ( minus 1 divide by 5)
x to the power of ( minus one divide by five)
x(-1/5)
x-1/5
x^-1/5
x^(-1 divide by 5)
x^(-1/5)dx
Similar expressions
x^(1/5)

Solving integrals/ x^(-1/5)

Integral of x^(-1/5) dx

The solution

You have entered [src]

  1         
  /         
 |          
 |    1     
 |  ----- dx
 |  5 ___   
 |  \/ x    
 |          
/           
0

$$\int\limits_{0}^{1} \frac{1}{\sqrt[5]{x}}\, dx$$

Integral(x^(-1/5), (x, 0, 1))

Detail solution

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

$\int \frac{1}{\sqrt[5]{x}}\, dx = \frac{5 x^{\frac{4}{5}}}{4}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                     
 |                   4/5
 |   1            5*x   
 | ----- dx = C + ------
 | 5 ___            4   
 | \/ x                 
 |                      
/

$$\int \frac{1}{\sqrt[5]{x}}\, dx = C + \frac{5 x^{\frac{4}{5}}}{4}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

5/4

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

5/4

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

5/4

Numerical answer [src]

1.25

1.25

The graph

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

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Identical expressions

Similar expressions

Integral of x^(-1/5) dx

Limits of integration:

The graph:

Piecewise:

The solution