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x^-3

Integral of x^-3 dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
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011x3dx\int\limits_{0}^{1} \frac{1}{x^{3}}\, dx
Integral(x^(-3), (x, 0, 1))
Detail solution
  1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n1n \neq -1:

    1x3dx=12x2\int \frac{1}{x^{3}}\, dx = - \frac{1}{2 x^{2}}

  2. Add the constant of integration:

    12x2+constant- \frac{1}{2 x^{2}}+ \mathrm{constant}


The answer is:

12x2+constant- \frac{1}{2 x^{2}}+ \mathrm{constant}

The answer (Indefinite) [src]
  /                
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1x3dx=C12x2\int \frac{1}{x^{3}}\, dx = C - \frac{1}{2 x^{2}}
The graph
0.001.000.100.200.300.400.500.600.700.800.90-10000000000001000000000000
The answer [src]
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Numerical answer [src]
9.15365037903492e+37
9.15365037903492e+37
The graph
Integral of x^-3 dx

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