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Solving integrals/ 13x^2

Integral of 13x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |      2   
 |  13*x  dx
 |          
/           
0
$$\int\limits_{0}^{1} 13 x^{2}\, dx$$ 
Integral(13*x^2, (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] 
  /                    
 |                    3
 |     2          13*x 
 | 13*x  dx = C + -----
 |                  3  
/
$$\int 13 x^{2}\, dx = C + \frac{13 x^{3}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
13/3
$$\frac{13}{3}$$ 
=
= 
13/3
$$\frac{13}{3}$$ 
13/3
Numerical answer [src] 
4.33333333333333
4.33333333333333

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

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