Mister Exam

Integral of (6x²+2x)dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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  3                
  /                
 |                 
 |  /   2      \   
 |  \6*x  + 2*x/ dx
 |                 
/                  
-2                 
$$\int\limits_{-2}^{3} \left(6 x^{2} + 2 x\right)\, dx$$
Integral(6*x^2 + 2*x, (x, -2, 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 times a function is the constant times the integral of the function:

      1. The integral of is when :

      So, the result is:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                               
 |                                
 | /   2      \           2      3
 | \6*x  + 2*x/ dx = C + x  + 2*x 
 |                                
/                                 
$$\int \left(6 x^{2} + 2 x\right)\, dx = C + 2 x^{3} + x^{2}$$
The graph
The answer [src]
75
$$75$$
=
=
75
$$75$$
75
Numerical answer [src]
75.0
75.0
The graph
Integral of (6x²+2x)dx dx

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