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Solving integrals/ x^2/27

Integral of x^2/27 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  6      
  /      
 |       
 |   2   
 |  x    
 |  -- dx
 |  27   
 |       
/        
3
$$\int\limits_{3}^{6} \frac{x^{2}}{27}\, dx$$ 
Integral(x^2/27, (x, 3, 6))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    1. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /              
 |               
 |  2           3
 | x           x 
 | -- dx = C + --
 | 27          81
 |               
/
$$\int \frac{x^{2}}{27}\, dx = C + \frac{x^{3}}{81}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
7/3
$$\frac{7}{3}$$ 
=
= 
7/3
$$\frac{7}{3}$$ 
7/3
Numerical answer [src] 
2.33333333333333
2.33333333333333

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

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