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1/4x^3

Integral of 1/4x^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1      
  /      
 |       
 |   3   
 |  x    
 |  -- dx
 |  4    
 |       
/        
0        
$$\int\limits_{0}^{1} \frac{x^{3}}{4}\, dx$$
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]
  /              
 |               
 |  3           4
 | x           x 
 | -- dx = C + --
 | 4           16
 |               
/                
$${{x^4}\over{16}}$$
The graph
The answer [src]
1/16
$${{1}\over{16}}$$
=
=
1/16
$$\frac{1}{16}$$
Numerical answer [src]
0.0625
0.0625
The graph
Integral of 1/4x^3 dx

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