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(3*x^2+2*x+1)

Integral of (3*x^2+2*x+1) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

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 -2                    
  /                    
 |                     
 |  /   2          \   
 |  \3*x  + 2*x + 1/ dx
 |                     
/                      
-4                     
$$\int\limits_{-4}^{-2} \left(3 x^{2} + 2 x + 1\right)\, dx$$
Integral(3*x^2 + 2*x + 1, (x, -4, -2))
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 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. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                     
 |                                      
 | /   2          \               2    3
 | \3*x  + 2*x + 1/ dx = C + x + x  + x 
 |                                      
/                                       
$$x^3+x^2+x$$
The graph
The answer [src]
46
$$46$$
=
=
46
$$46$$
Numerical answer [src]
46.0
46.0
The graph
Integral of (3*x^2+2*x+1) dx

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