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2x^3
Solving integrals/ 2x^3

Integral of 2x^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     3   
 |  2*x  dx
 |         
/          
0
$$\int\limits_{0}^{1} 2 x^{3}\, dx$$ 
Integral(2*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          x 
 | 2*x  dx = C + --
 |               2 
/
$$\int 2 x^{3}\, dx = C + \frac{x^{4}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/2
$$\frac{1}{2}$$ 
=
= 
1/2
$$\frac{1}{2}$$ 
1/2
Numerical answer [src] 
0.5
0.5
The graph
Integral of 2x^3 dx

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

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