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3x^2-1

Integral of 3x^2-1 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1              
  /              
 |               
 |  /   2    \   
 |  \3*x  - 1/ dx
 |               
/                
0                
$$\int\limits_{0}^{1} \left(3 x^{2} - 1\right)\, dx$$
Integral(3*x^2 - 1, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

    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:

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                          
 |                           
 | /   2    \           3    
 | \3*x  - 1/ dx = C + x  - x
 |                           
/                            
$$\int \left(3 x^{2} - 1\right)\, dx = C + x^{3} - x$$
The graph
The answer [src]
0
$$0$$
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=
0
$$0$$
0
Numerical answer [src]
-7.03697228925944e-20
-7.03697228925944e-20
The graph
Integral of 3x^2-1 dx

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