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Solving integrals/ 3/x^3

Integral of 3/x^3 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
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 |  3    
 |  -- dx
 |   3   
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∫003x3 dx\int\limits_{0}^{0} \frac{3}{x^{3}}\, dx 
Integral(3/x^3, (x, 0, 0))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    ∫3x3 dx=3∫1x3 dx\int \frac{3}{x^{3}}\, dx = 3 \int \frac{1}{x^{3}}\, dx

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

      But the integral is

      −12x2- \frac{1}{2 x^{2}}

    So, the result is: −32x2- \frac{3}{2 x^{2}}

  2. Add the constant of integration:

    −32x2+constant- \frac{3}{2 x^{2}}+ \mathrm{constant}

The answer is:

−32x2+constant- \frac{3}{2 x^{2}}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
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 | 3            3  
 | -- dx = C - ----
 |  3             2
 | x           2*x 
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/
∫3x3 dx=C−32x2\int \frac{3}{x^{3}}\, dx = C - \frac{3}{2 x^{2}}
Simplify
The graph
-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
Plot the graph f(x)
The answer [src] 
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Numerical answer [src] 
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    Use the examples entering the upper and lower limits of integration.

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