Mister Exam

Integral of 3*x-2 dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  3             
  /             
 |              
 |  (3*x - 2) dx
 |              
/               
-3              
$$\int\limits_{-3}^{3} \left(3 x - 2\right)\, dx$$
Integral(3*x - 2, (x, -3, 3))
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
 |                          3*x 
 | (3*x - 2) dx = C - 2*x + ----
 |                           2  
/                               
$$\int \left(3 x - 2\right)\, dx = C + \frac{3 x^{2}}{2} - 2 x$$
The graph
The answer [src]
-12
$$-12$$
=
=
-12
$$-12$$
-12
Numerical answer [src]
-12.0
-12.0

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