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x^-5
Solving integrals/ x^-5

Integral of x^-5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |  1    
 |  -- dx
 |   5   
 |  x    
 |       
/        
0
∫011x5 dx\int\limits_{0}^{1} \frac{1}{x^{5}}\, dx 
Integral(x^(-5), (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:

    ∫1x5 dx=−14x4\int \frac{1}{x^{5}}\, dx = - \frac{1}{4 x^{4}}

  2. Add the constant of integration:

    −14x4+constant- \frac{1}{4 x^{4}}+ \mathrm{constant}

The answer is:

−14x4+constant- \frac{1}{4 x^{4}}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
 |                 
 | 1            1  
 | -- dx = C - ----
 |  5             4
 | x           4*x 
 |                 
/
∫1x5 dx=C−14x4\int \frac{1}{x^{5}}\, dx = C - \frac{1}{4 x^{4}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-2000000000000000000020000000000000000000
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Numerical answer [src] 
7.26749061658134e+75
7.26749061658134e+75
The graph
Integral of x^-5 dx

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

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