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Integral of (6x²-2x+1) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
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 |  /   2          \   
 |  \6*x  - 2*x + 1/ dx
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$$\int\limits_{-2}^{1} \left(\left(6 x^{2} - 2 x\right) + 1\right)\, dx$$
Integral(6*x^2 - 2*x + 1, (x, -2, 1))
Detail solution
  1. Integrate term-by-term:

    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 times a function is the constant times the integral of the function:

        1. The integral of is when :

        So, the result is:

      The result is:

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

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                       
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 | /   2          \               2      3
 | \6*x  - 2*x + 1/ dx = C + x - x  + 2*x 
 |                                        
/                                         
$$\int \left(\left(6 x^{2} - 2 x\right) + 1\right)\, dx = C + 2 x^{3} - x^{2} + x$$
The graph
The answer [src]
24
$$24$$
=
=
24
$$24$$
24
Numerical answer [src]
24.0
24.0

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