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Solving integrals/ xdx/sqrt^3x-1

Integral of xdx/sqrt^3x-1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |  /  x       \   
 |  |------ - 1| dx
 |  |     3    |   
 |  |  ___     |   
 |  \\/ x      /   
 |                 
/                  
0
$$\int\limits_{0}^{1} \left(\frac{x}{\left(\sqrt{x}\right)^{3}} - 1\right)\, dx$$ 
Integral(x/(sqrt(x))^3 - 1, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. Don't know the steps in finding this integral.

      But the integral is

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                 
 |                                  
 | /  x       \                  ___
 | |------ - 1| dx = C - x + 2*\/ x 
 | |     3    |                     
 | |  ___     |                     
 | \\/ x      /                     
 |                                  
/
$$\int \left(\frac{x}{\left(\sqrt{x}\right)^{3}} - 1\right)\, dx = C + 2 \sqrt{x} - x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1
$$1$$ 
=
= 
1
$$1$$ 
1
Numerical answer [src] 
0.999999999469417
0.999999999469417

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

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