Mister Exam

Integral of 2/x² dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

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

      PiecewiseRule(subfunctions=[(ArctanRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False), (ArccothRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False), (ArctanhRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False)], context=1/(x**2), symbol=x)

    So, the result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /           
 |            
 | 2          
 | -- dx = nan
 |  2         
 | x          
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/             
$$\int \frac{2}{x^{2}}\, dx = \text{NaN}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo
Numerical answer [src]
2.75864735589719e+19
2.75864735589719e+19
The graph
Integral of 2/x² dx

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