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x^2+2x+3

Integral of x^2+2x+3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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  1                  
  /                  
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 |  / 2          \   
 |  \x  + 2*x + 3/ dx
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/                    
0                    
$$\int\limits_{0}^{1} \left(\left(x^{2} + 2 x\right) + 3\right)\, dx$$
Integral(x^2 + 2*x + 3, (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 + 3/ dx = C + x  + 3*x + --
 |                                    3 
/                                       
$$\int \left(\left(x^{2} + 2 x\right) + 3\right)\, dx = C + \frac{x^{3}}{3} + x^{2} + 3 x$$
The graph
The answer [src]
13/3
$$\frac{13}{3}$$
=
=
13/3
$$\frac{13}{3}$$
13/3
Numerical answer [src]
4.33333333333333
4.33333333333333
The graph
Integral of x^2+2x+3 dx

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