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Solving integrals/ y^5

Integral of y^5 dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2      
  /      
 |       
 |   5   
 |  y  dy
 |       
/        
0
∫02y5 dy\int\limits_{0}^{2} y^{5}\, dy 
Integral(y^5, (y, 0, 2))
Detail solution

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

    ∫y5 dy=y66\int y^{5}\, dy = \frac{y^{6}}{6}

  2. Add the constant of integration:

    y66+constant\frac{y^{6}}{6}+ \mathrm{constant}

The answer is:

y66+constant\frac{y^{6}}{6}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /              
 |              6
 |  5          y 
 | y  dy = C + --
 |             6 
/
∫y5 dy=C+y66\int y^{5}\, dy = C + \frac{y^{6}}{6}
Simplify
The graph
0.02.00.20.40.60.81.01.21.41.61.8050
Plot the graph f(x)
The answer [src] 
32/3
323\frac{32}{3} 
=
= 
32/3
323\frac{32}{3} 
32/3
Numerical answer [src] 
10.6666666666667
10.6666666666667

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

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