Mister Exam

Other calculators

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

Integral of x^2+2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Integrate term-by-term:

    1. The integral of is when :

    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    \                x 
 | \x  + 2/ dx = C + 2*x + --
 |                         3 
/
$$\int \left(x^{2} + 2\right)\, dx = C + \frac{x^{3}}{3} + 2 x$$
Simplify
The graph
Plot the graph f(x)
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+2 dx

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

    © Mister Exam – Calculator