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Solving integrals/ x^-3

Integral of x^-3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
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 |  1    
 |  -- dx
 |   3   
 |  x    
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0
∫011x3 dx\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 n≠−1n \neq -1:

    ∫1x3 dx=−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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 | 1            1  
 | -- dx = C - ----
 |  3             2
 | x           2*x 
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/
∫1x3 dx=C−12x2\int \frac{1}{x^{3}}\, dx = C - \frac{1}{2 x^{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-10000000000001000000000000
Plot the graph f(x)
The answer [src] 
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∞\infty 
=
= 
oo
∞\infty 
oo
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.

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