Mister Exam

Other calculators

x^2+x+3
Solving integrals/ x^2+x+3

Integral of x^2+x+3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Integrate term-by-term:

    1. Integrate term-by-term:

      1. The integral of is when :

      1. The integral of is when :

      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] 
  /                                   
 |                        2          3
 | / 2        \          x          x 
 | \x  + x + 3/ dx = C + -- + 3*x + --
 |                       2          3 
/
$$\int \left(\left(x^{2} + x\right) + 3\right)\, dx = C + \frac{x^{3}}{3} + \frac{x^{2}}{2} + 3 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
76/3
$$\frac{76}{3}$$ 
=
= 
76/3
$$\frac{76}{3}$$ 
76/3
Numerical answer [src] 
25.3333333333333
25.3333333333333
The graph
Integral of x^2+x+3 dx

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

    © Mister Exam – Calculator