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Integral of c+15x^2-6x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1                     
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 |  /        2      \   
 |  \c + 15*x  - 6*x/ dx
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0                       
$$\int\limits_{0}^{1} \left(c + 15 x^{2} - 6 x\right)\, dx$$
Integral(c + 15*x^2 - 6*x, (x, 0, 1))
Detail solution
  1. Integrate term-by-term:

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

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

        1. The integral of is when :

        So, the result is:

      So, the result is:

    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      
 | \c + 15*x  - 6*x/ dx = C - 3*x  + 5*x  + c*x
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/                                              
$$\int \left(c + 15 x^{2} - 6 x\right)\, dx = C + c x + 5 x^{3} - 3 x^{2}$$
The answer [src]
2 + c
$$c + 2$$
=
=
2 + c
$$c + 2$$

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