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Integral of 4*x-5 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 - 5) dx
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$$\int\limits_{0}^{1} \left(4 x - 5\right)\, dx$$
Integral(4*x - 5, (x, 0, 1))
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 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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 | (4*x - 5) dx = C - 5*x + 2*x 
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$$\int \left(4 x - 5\right)\, dx = C + 2 x^{2} - 5 x$$
The graph
The answer [src]
-3
$$-3$$
=
=
-3
$$-3$$
-3
Numerical answer [src]
-3.0
-3.0

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