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Integral of f(2x-1)(3x+4)dx dx

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The solution

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 |  f*(2*x - 1)*(3*x + 4)*1 dx
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$$\int\limits_{0}^{1} f \left(2 x - 1\right) \left(3 x + 4\right) 1\, dx$$
Integral(f*(2*x - 1*1)*(3*x + 4)*1, (x, 0, 1))
Detail solution
  1. The integral of a constant times a function is the constant times the integral of the function:

    1. Rewrite the integrand:

    2. 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:

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                   /                 2\
 |                                    |          3   5*x |
 | f*(2*x - 1)*(3*x + 4)*1 dx = C + f*|-4*x + 2*x  + ----|
 |                                    \               2  /
/                                                         
$${{f\,\left(4\,x^3+5\,x^2-8\,x\right)}\over{2}}$$
The answer [src]
f
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2
$${{f}\over{2}}$$
=
=
f
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2
$$\frac{f}{2}$$

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