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x+x^2

Integral of x+x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

    1. The integral of is when :

    1. The integral of is when :

    The result is:

  2. Now simplify:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                         
 |                    2    3
 | /     2\          x    x 
 | \x + x / dx = C + -- + --
 |                   2    3 
/                           
$$\int \left(x^{2} + x\right)\, dx = C + \frac{x^{3}}{3} + \frac{x^{2}}{2}$$
The graph
The answer [src]
5/6
$$\frac{5}{6}$$
=
=
5/6
$$\frac{5}{6}$$
5/6
Numerical answer [src]
0.833333333333333
0.833333333333333
The graph
Integral of x+x^2 dx

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