Mister Exam

Integral of 3x³ dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1        
  /        
 |         
 |     3   
 |  3*x  dx
 |         
/          
0          
$$\int\limits_{0}^{1} 3 x^{3}\, dx$$
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]
  /                  
 |                  4
 |    3          3*x 
 | 3*x  dx = C + ----
 |                4  
/                    
$${{3\,x^4}\over{4}}$$
The graph
The answer [src]
3/4
$${{3}\over{4}}$$
=
=
3/4
$$\frac{3}{4}$$
Numerical answer [src]
0.75
0.75
The graph
Integral of 3x³ dx

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