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Solving integrals/ x2/3

Integral of x2/3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  4         
  /         
 |          
 |  x2      
 |  -- d(x2)
 |  3       
 |          
/           
1
$$\int\limits_{1}^{4} \frac{x_{2}}{3}\, dx_{2}$$ 
Integral(x2/3, (x2, 1, 4))
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
 | x2             x2 
 | -- d(x2) = C + ---
 | 3               6 
 |                   
/
$$\int \frac{x_{2}}{3}\, dx_{2} = C + \frac{x_{2}^{2}}{6}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
5/2
$$\frac{5}{2}$$ 
=
= 
5/2
$$\frac{5}{2}$$ 
5/2
Numerical answer [src] 
2.5
2.5

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

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