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x^(-3/4)
Solving integrals/ x^(-3/4)

Integral of x^(-3/4) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |   1     
 |  ---- dx
 |   3/4   
 |  x      
 |         
/          
0
∫011x34 dx\int\limits_{0}^{1} \frac{1}{x^{\frac{3}{4}}}\, dx 
Integral(x^(-3/4), (x, 0, 1))
Detail solution

  1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

    ∫1x34 dx=4x4\int \frac{1}{x^{\frac{3}{4}}}\, dx = 4 \sqrt[4]{x}

  2. Add the constant of integration:

    4x4+constant4 \sqrt[4]{x}+ \mathrm{constant}

The answer is:

4x4+constant4 \sqrt[4]{x}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                     
 |                      
 |  1              4 ___
 | ---- dx = C + 4*\/ x 
 |  3/4                 
 | x                    
 |                      
/
∫1x34 dx=C+4x4\int \frac{1}{x^{\frac{3}{4}}}\, dx = C + 4 \sqrt[4]{x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002000
Plot the graph f(x)
The answer [src] 
4
44 
=
= 
4
44 
4
Numerical answer [src] 
3.9999347679106
3.9999347679106
The graph
Integral of x^(-3/4) dx

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

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