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Solving integrals/ (x^2)/36

Integral of (x^2)/36 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  6      
  /      
 |       
 |   2   
 |  x    
 |  -- dx
 |  36   
 |       
/        
4
$$\int\limits_{4}^{6} \frac{x^{2}}{36}\, dx$$ 
Integral(x^2/36, (x, 4, 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 + ---
 | 36          108
 |                
/
$$\int \frac{x^{2}}{36}\, dx = C + \frac{x^{3}}{108}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
38
--
27
$$\frac{38}{27}$$ 
=
= 
38
--
27
$$\frac{38}{27}$$ 
38/27
Numerical answer [src] 
1.40740740740741
1.40740740740741

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

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