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x^3+x^2+1

Integral of x^3+x^2+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

    1. The integral of is when :

    1. The integral of is when :

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                  
 |                             3    4
 | / 3    2    \              x    x 
 | \x  + x  + 1/ dx = C + x + -- + --
 |                            3    4 
/                                    
$${{x^4}\over{4}}+{{x^3}\over{3}}+x$$
The graph
The answer [src]
19
--
12
$${{19}\over{12}}$$
=
=
19
--
12
$$\frac{19}{12}$$
Numerical answer [src]
1.58333333333333
1.58333333333333
The graph
Integral of x^3+x^2+1 dx

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