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x^2/4

Integral of x^2/4 dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1      
  /      
 |       
 |   2   
 |  x    
 |  -- dx
 |  4    
 |       
/        
0        
$$\int\limits_{0}^{1} \frac{x^{2}}{4}\, dx$$
Integral(x^2/4, (x, 0, 1))
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 + --
 | 4           12
 |               
/                
$$\int \frac{x^{2}}{4}\, dx = C + \frac{x^{3}}{12}$$
The graph
The answer [src]
1/12
$$\frac{1}{12}$$
=
=
1/12
$$\frac{1}{12}$$
1/12
Numerical answer [src]
0.0833333333333333
0.0833333333333333
The graph
Integral of x^2/4 dx

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