Mister Exam

Other calculators

1+x^2
Solving integrals/ 1+x^2

Integral of 1+x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  /     2\   
 |  \1 + x / dx
 |             
/              
0
$$\int\limits_{0}^{1} \left(x^{2} + 1\right)\, dx$$ 
Integral(1 + x^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. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                        
 |                        3
 | /     2\              x 
 | \1 + x / dx = C + x + --
 |                       3 
/
$$\int \left(x^{2} + 1\right)\, dx = C + \frac{x^{3}}{3} + x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
4/3
$$\frac{4}{3}$$ 
=
= 
4/3
$$\frac{4}{3}$$ 
4/3
Numerical answer [src] 
1.33333333333333
1.33333333333333
The graph
Integral of 1+x^2 dx

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

    © Mister Exam – Calculator