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1/2x^3
Solving integrals/ 1/2x^3

Integral of 1/2x^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   3   
 |  x    
 |  -- dx
 |  2    
 |       
/        
0
$$\int\limits_{0}^{1} \frac{x^{3}}{2}\, dx$$ 
Integral(x^3/2, (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] 
  /              
 |               
 |  3           4
 | x           x 
 | -- dx = C + --
 | 2           8 
 |               
/
$$\int \frac{x^{3}}{2}\, dx = C + \frac{x^{4}}{8}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/8
$$\frac{1}{8}$$ 
=
= 
1/8
$$\frac{1}{8}$$ 
1/8
Numerical answer [src] 
0.125
0.125
The graph
Integral of 1/2x^3 dx

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

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