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x^2+2x+1

Integral of x^2+2x+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                  
  /                  
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 |  / 2          \   
 |  \x  + 2*x + 1/ dx
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0                    
$$\int\limits_{0}^{1} \left(\left(x^{2} + 2 x\right) + 1\right)\, dx$$
Integral(x^2 + 2*x + 1, (x, 0, 1))
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  + 2*x + 1/ dx = C + x + x  + --
 |                                  3 
/                                     
$$\int \left(\left(x^{2} + 2 x\right) + 1\right)\, dx = C + \frac{x^{3}}{3} + x^{2} + x$$
The graph
The answer [src]
7/3
$$\frac{7}{3}$$
=
=
7/3
$$\frac{7}{3}$$
7/3
Numerical answer [src]
2.33333333333333
2.33333333333333
The graph
Integral of x^2+2x+1 dx

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