Mister Exam

Other calculators


4/13x^5

Integral of 4/13x^5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |     5   
 |  4*x    
 |  ---- dx
 |   13    
 |         
/          
0          
$$\int\limits_{0}^{1} \frac{4 x^{5}}{13}\, dx$$
Integral(4*x^5/13, (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]
  /                  
 |                   
 |    5             6
 | 4*x           2*x 
 | ---- dx = C + ----
 |  13            39 
 |                   
/                    
$${{2\,x^6}\over{39}}$$
The graph
The answer [src]
2/39
$${{2}\over{39}}$$
=
=
2/39
$$\frac{2}{39}$$
Numerical answer [src]
0.0512820512820513
0.0512820512820513
The graph
Integral of 4/13x^5 dx

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