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4/x^3
Solving integrals/ 4/x^3

Integral of 4/x^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2      
  /      
 |       
 |  4    
 |  -- dx
 |   3   
 |  x    
 |       
/        
-1
∫−124x3 dx\int\limits_{-1}^{2} \frac{4}{x^{3}}\, dx 
Integral(4/x^3, (x, -1, 2))
Detail solution

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

    ∫4x3 dx=4∫1x3 dx\int \frac{4}{x^{3}}\, dx = 4 \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: −2x2- \frac{2}{x^{2}}

  2. Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src] 
  /              
 |               
 | 4           2 
 | -- dx = C - --
 |  3           2
 | x           x 
 |               
/
∫4x3 dx=C−2x2\int \frac{4}{x^{3}}\, dx = C - \frac{2}{x^{2}}
Simplify
The graph
-1.00-0.75-0.50-0.252.000.000.250.500.751.001.251.501.75-10000000000001000000000000
Plot the graph f(x)
The answer [src] 
nan
NaN\text{NaN} 
=
= 
nan
NaN\text{NaN} 
nan
Numerical answer [src] 
5694649870.54518
5694649870.54518
The graph
Integral of 4/x^3 dx

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

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