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Integral of (8^3+4x-7) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

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 |  (512 + 4*x - 7) dx
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$$\int\limits_{0}^{1} \left(\left(4 x + 512\right) - 7\right)\, dx$$
Integral(512 + 4*x - 7, (x, 0, 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 is the constant times the variable of integration:

      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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 | (512 + 4*x - 7) dx = C + 2*x  + 505*x
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$$\int \left(\left(4 x + 512\right) - 7\right)\, dx = C + 2 x^{2} + 505 x$$
The graph
The answer [src]
507
$$507$$
=
=
507
$$507$$
507
Numerical answer [src]
507.0
507.0

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