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Limit of the function:
x^(-3/2)
Identical expressions
x^(- three / two)
x to the power of ( minus 3 divide by 2)
x to the power of ( minus three divide by two)
x(-3/2)
x-3/2
x^-3/2
x^(-3 divide by 2)
x^(-3/2)dx
Similar expressions
x^(3/2)

Solving integrals/ x^(-3/2)

Integral of x^(-3/2) dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} \frac{1}{x^{\frac{3}{2}}}\, dx$$

Integral(x^(-3/2), (x, 0, 1))

Detail solution

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

$\int \frac{1}{x^{\frac{3}{2}}}\, dx = - \frac{2}{\sqrt{x}}$
Add the constant of integration:

$- \frac{2}{\sqrt{x}}+ \mathrm{constant}$

The answer is:

$- \frac{2}{\sqrt{x}}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                   
 |                    
 |  1              2  
 | ---- dx = C - -----
 |  3/2            ___
 | x             \/ x 
 |                    
/

$$\int \frac{1}{x^{\frac{3}{2}}}\, dx = C - \frac{2}{\sqrt{x}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

oo

$$\infty$$

oo

$$\infty$$

oo

Numerical answer [src]

7464448597.65649

7464448597.65649

The graph

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

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Identical expressions

Similar expressions

Integral of x^(-3/2) dx

Limits of integration:

The graph:

Piecewise:

The solution