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Solving integrals/ x^-2

Integral of 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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0
∫011x2 dx\int\limits_{0}^{1} \frac{1}{x^{2}}\, dx 
Integral(x^(-2), (x, 0, 1))
Detail solution

  1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

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

  2. Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src] 
  /             
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∫1x2 dx=C−1x\int \frac{1}{x^{2}}\, dx = C - \frac{1}{x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90200000000-100000000
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 x^-2 dx

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

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