Mister Exam

Integral of 13x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
 12        
  /        
 |         
 |  13*x dx
 |         
/          
0          
$$\int\limits_{0}^{12} 13 x\, dx$$
Integral(13*x, (x, 0, 12))
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
 |               13*x 
 | 13*x dx = C + -----
 |                 2  
/                     
$$\int 13 x\, dx = C + \frac{13 x^{2}}{2}$$
The graph
The answer [src]
936
$$936$$
=
=
936
$$936$$
936
Numerical answer [src]
936.0
936.0

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