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Integral of 4-x-2y dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
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 |  (4 - x - 2*y) dx
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$$\int\limits_{0}^{1} \left(- 2 y + \left(4 - x\right)\right)\, dx$$
Integral(4 - x - 2*y, (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. 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:

      The result is:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                              2        
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 | (4 - x - 2*y) dx = C + 4*x - -- - 2*x*y
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$$\int \left(- 2 y + \left(4 - x\right)\right)\, dx = C - \frac{x^{2}}{2} - 2 x y + 4 x$$
The answer [src]
7/2 - 2*y
$$\frac{7}{2} - 2 y$$
=
=
7/2 - 2*y
$$\frac{7}{2} - 2 y$$
7/2 - 2*y

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