Mister Exam

Other calculators


x^2+4x+4

Integral of x^2+4x+4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  0                  
  /                  
 |                   
 |  / 2          \   
 |  \x  + 4*x + 4/ dx
 |                   
/                    
-3                   
$$\int\limits_{-3}^{0} \left(\left(x^{2} + 4 x\right) + 4\right)\, dx$$
Integral(x^2 + 4*x + 4, (x, -3, 0))
Detail solution
  1. Integrate term-by-term:

    1. Integrate term-by-term:

      1. The integral of is when :

      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:

    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]
  /                                       
 |                                       3
 | / 2          \             2         x 
 | \x  + 4*x + 4/ dx = C + 2*x  + 4*x + --
 |                                      3 
/                                         
$$\int \left(\left(x^{2} + 4 x\right) + 4\right)\, dx = C + \frac{x^{3}}{3} + 2 x^{2} + 4 x$$
The graph
The answer [src]
3
$$3$$
=
=
3
$$3$$
3
Numerical answer [src]
3.0
3.0
The graph
Integral of x^2+4x+4 dx

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