Mister Exam

Other calculators


(-1)/x^2

Integral of (-1)/x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1       
  /       
 |        
 |  -1    
 |  --- dx
 |    2   
 |   x    
 |        
/         
0         
$$\int\limits_{0}^{1} \left(- \frac{1}{x^{2}}\right)\, dx$$
Integral(-1/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]
  /            
 |             
 | -1          
 | --- dx = nan
 |   2         
 |  x          
 |             
/              
$$\int \left(- \frac{1}{x^{2}}\right)\, dx = \text{NaN}$$
The graph
The answer [src]
-oo
$$-\infty$$
=
=
-oo
$$-\infty$$
-oo
Numerical answer [src]
-1.3793236779486e+19
-1.3793236779486e+19
The graph
Integral of (-1)/x^2 dx

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