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y^(-3)
Solving integrals/ y^(-3)

Integral of y^(-3) dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |  1    
 |  -- dy
 |   3   
 |  y    
 |       
/        
0
∫011y3 dy\int\limits_{0}^{1} \frac{1}{y^{3}}\, dy 
Integral(y^(-3), (y, 0, 1))
Detail solution

  1. The integral of yny^{n} is yn+1n+1\frac{y^{n + 1}}{n + 1} when n≠−1n \neq -1:

    ∫1y3 dy=−12y2\int \frac{1}{y^{3}}\, dy = - \frac{1}{2 y^{2}}

  2. Add the constant of integration:

    −12y2+constant- \frac{1}{2 y^{2}}+ \mathrm{constant}

The answer is:

−12y2+constant- \frac{1}{2 y^{2}}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
 |                 
 | 1            1  
 | -- dy = C - ----
 |  3             2
 | y           2*y 
 |                 
/
∫1y3 dy=C−12y2\int \frac{1}{y^{3}}\, dy = C - \frac{1}{2 y^{2}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-500000000000500000000000
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 y^(-3) dy

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

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