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2x²
Solving integrals/ 2x²

Integral of 2x² dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1        
  /        
 |         
 |     2   
 |  2*x  dx
 |         
/          
0
$$\int\limits_{0}^{1} 2 x^{2}\, dx$$ 
Integral(2*x^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
 |    2          2*x 
 | 2*x  dx = C + ----
 |                3  
/
$$\int 2 x^{2}\, dx = C + \frac{2 x^{3}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2/3
$$\frac{2}{3}$$ 
=
= 
2/3
$$\frac{2}{3}$$ 
2/3
Numerical answer [src] 
0.666666666666667
0.666666666666667
The graph
Integral of 2x² dx

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

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