Mister Exam

Integral of 2/x³ dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1      
  /      
 |       
 |  2    
 |  -- dx
 |   3   
 |  x    
 |       
/        
0        
012x3dx\int\limits_{0}^{1} \frac{2}{x^{3}}\, dx
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    2x3dx=21x3dx\int \frac{2}{x^{3}}\, dx = 2 \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: 1x2- \frac{1}{x^{2}}

  2. Add the constant of integration:

    1x2+constant- \frac{1}{x^{2}}+ \mathrm{constant}


The answer is:

1x2+constant- \frac{1}{x^{2}}+ \mathrm{constant}

The answer (Indefinite) [src]
  /              
 |               
 | 2           1 
 | -- dx = C - --
 |  3           2
 | x           x 
 |               
/                
1x2-{{1}\over{x^2}}
The graph
0.001.000.100.200.300.400.500.600.700.800.905000000000000-2500000000000
The answer [src]
oo
%a{\it \%a}
=
=
oo
\infty
Numerical answer [src]
1.83073007580698e+38
1.83073007580698e+38
The graph
Integral of 2/x³ dx

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