Mister Exam

Integral of 2*x+2 dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  0             
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 |  (2*x + 2) dx
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$$\int\limits_{2}^{0} \left(2 x + 2\right)\, dx$$
Integral(2*x + 2, (x, 2, 0))
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]
  /                           
 |                     2      
 | (2*x + 2) dx = C + x  + 2*x
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$$\int \left(2 x + 2\right)\, dx = C + x^{2} + 2 x$$
The graph
The answer [src]
-8
$$-8$$
=
=
-8
$$-8$$
-8
Numerical answer [src]
-8.0
-8.0

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