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y^3

Integral of y^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1      
  /      
 |       
 |   3   
 |  y  dy
 |       
/        
0        
01y3dy\int\limits_{0}^{1} y^{3}\, dy
Detail solution
  1. The integral of yny^{n} is yn+1n+1\frac{y^{n + 1}}{n + 1} when n1n \neq -1:

    y3dy=y44\int y^{3}\, dy = \frac{y^{4}}{4}

  2. Add the constant of integration:

    y44+constant\frac{y^{4}}{4}+ \mathrm{constant}


The answer is:

y44+constant\frac{y^{4}}{4}+ \mathrm{constant}

The answer (Indefinite) [src]
  /              
 |              4
 |  3          y 
 | y  dy = C + --
 |             4 
/                
y44{{y^4}\over{4}}
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
The answer [src]
1/4
14{{1}\over{4}}
=
=
1/4
14\frac{1}{4}
Numerical answer [src]
0.25
0.25
The graph
Integral of y^3 dx

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