Mister Exam

Integral of 6*x-2 dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  4             
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 |  (6*x - 2) dx
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$$\int\limits_{0}^{4} \left(6 x - 2\right)\, dx$$
Integral(6*x - 1*2, (x, 0, 4))
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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 | (6*x - 2) dx = C - 2*x + 3*x 
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$$3\,x^2-2\,x$$
The graph
The answer [src]
40
$$40$$
=
=
40
$$40$$
Numerical answer [src]
40.0
40.0
The graph
Integral of 6*x-2 dx

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