Mister Exam

Other calculators


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       
124x3dx\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:

    4x3dx=41x3dx\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 
 |               
/                
4x3dx=C2x2\int \frac{4}{x^{3}}\, dx = C - \frac{2}{x^{2}}
The graph
-1.00-0.75-0.50-0.252.000.000.250.500.751.001.251.501.75-10000000000001000000000000
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.