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Solving integrals/ 2*x+x^2

Integral of 2*x+x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 -2              
  /              
 |               
 |  /       2\   
 |  \2*x + x / dx
 |               
/                
0
$$\int\limits_{0}^{-2} \left(x^{2} + 2 x\right)\, dx$$ 
Integral(2*x + x^2, (x, 0, -2))
Detail solution

  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:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                           
 |                           3
 | /       2\           2   x 
 | \2*x + x / dx = C + x  + --
 |                          3 
/
$$\int \left(x^{2} + 2 x\right)\, dx = C + \frac{x^{3}}{3} + x^{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
4/3
$$\frac{4}{3}$$ 
=
= 
4/3
$$\frac{4}{3}$$ 
4/3
Numerical answer [src] 
1.33333333333333
1.33333333333333

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

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