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3*x^3

Integral of 3*x^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

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