Mister Exam

Integral of 6x+2 dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
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 |  (6*x + 2) dx
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$$\int\limits_{0}^{1} \left(6 x + 2\right)\, dx$$
Integral(6*x + 2, (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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$$\int \left(6 x + 2\right)\, dx = C + 3 x^{2} + 2 x$$
The graph
The answer [src]
5
$$5$$
=
=
5
$$5$$
5
Numerical answer [src]
5.0
5.0

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