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u^(-2)
Solving integrals/ u^(-2)

Integral of u^(-2) du

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
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 |  1    
 |  -- du
 |   2   
 |  u    
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/        
0
∫011u2 du\int\limits_{0}^{1} \frac{1}{u^{2}}\, du 
Integral(u^(-2), (u, 0, 1))
Detail solution

  1. The integral of unu^{n} is un+1n+1\frac{u^{n + 1}}{n + 1} when n≠−1n \neq -1:

    ∫1u2 du=−1u\int \frac{1}{u^{2}}\, du = - \frac{1}{u}

  2. Add the constant of integration:

    −1u+constant- \frac{1}{u}+ \mathrm{constant}

The answer is:

−1u+constant- \frac{1}{u}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /             
 |              
 | 1           1
 | -- du = C - -
 |  2          u
 | u            
 |              
/
∫1u2 du=C−1u\int \frac{1}{u^{2}}\, du = C - \frac{1}{u}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-5000000050000000
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Numerical answer [src] 
1.3793236779486e+19
1.3793236779486e+19
The graph
Integral of u^(-2) du

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

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