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Solving integrals/ y^2

Integral of y^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   2   
 |  y  dy
 |       
/        
0
∫01y2 dy\int\limits_{0}^{1} y^{2}\, dy 
Integral(y^2, (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:

    ∫y2 dy=y33\int y^{2}\, dy = \frac{y^{3}}{3}

  2. Add the constant of integration:

    y33+constant\frac{y^{3}}{3}+ \mathrm{constant}

The answer is:

y33+constant\frac{y^{3}}{3}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /              
 |              3
 |  2          y 
 | y  dy = C + --
 |             3 
/
∫y2 dy=C+y33\int y^{2}\, dy = C + \frac{y^{3}}{3}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
1/3
13\frac{1}{3} 
=
= 
1/3
13\frac{1}{3} 
1/3
Numerical answer [src] 
0.333333333333333
0.333333333333333
The graph
Integral of y^2 dx

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

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