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Integral of dx/(x^3)+cbrt(x)+1 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
 oo                    
  /                    
 |                     
 |  /1    3 ___    \   
 |  |-- + \/ x  + 1| dx
 |  | 3            |   
 |  \x             /   
 |                     
/                      
2                      
$$\int\limits_{2}^{\infty} \left(\left(\sqrt[3]{x} + \frac{1}{x^{3}}\right) + 1\right)\, dx$$
Integral(1/(x^3) + x^(1/3) + 1, (x, 2, oo))
Detail solution
  1. Integrate term-by-term:

    1. Integrate term-by-term:

      1. The integral of is when :

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

        But the integral is

      The result 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]
  /                                           
 |                                         4/3
 | /1    3 ___    \               1     3*x   
 | |-- + \/ x  + 1| dx = C + x - ---- + ------
 | | 3            |                 2     4   
 | \x             /              2*x          
 |                                            
/                                             
$$\int \left(\left(\sqrt[3]{x} + \frac{1}{x^{3}}\right) + 1\right)\, dx = C + \frac{3 x^{\frac{4}{3}}}{4} + x - \frac{1}{2 x^{2}}$$
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo

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