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y^3
Solving integrals/ 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
∫01y3 dy\int\limits_{0}^{1} y^{3}\, dy
Simplify
Detail solution

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

    ∫y3 dy=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}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/4
14{{1}\over{4}} 
=
= 
1/4
14\frac{1}{4}
Simplify
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.

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