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5/x^2
Solving integrals/ 5/x^2

Integral of 5/x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
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 |  5    
 |  -- dx
 |   2   
 |  x    
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0
∫015x2 dx\int\limits_{0}^{1} \frac{5}{x^{2}}\, dx 
Integral(5/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:

    ∫5x2 dx=5∫1x2 dx\int \frac{5}{x^{2}}\, dx = 5 \int \frac{1}{x^{2}}\, dx

      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: NaN\text{NaN}

  2. Add the constant of integration:

    NaN+constant\text{NaN}+ \mathrm{constant}

The answer is:

NaN+constant\text{NaN}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /           
 |            
 | 5          
 | -- dx = nan
 |  2         
 | x          
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/
∫5x2 dx=NaN\int \frac{5}{x^{2}}\, dx = \text{NaN}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-500000000500000000
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Numerical answer [src] 
6.89661838974298e+19
6.89661838974298e+19
The graph
Integral of 5/x^2 dx

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

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