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sqrt(x^2-2)
Solving integrals/ sqrt(x^2-2)

Integral of sqrt(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
$$\int\limits_{0}^{1} \sqrt{x^{2} - 2}\, dx$$ 
Integral(sqrt(x^2 - 2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                    
 |                                            _________
 |    ________               /    ___\       /       2 
 |   /  2                    |x*\/ 2 |   x*\/  -2 + x  
 | \/  x  - 2  dx = C - acosh|-------| + --------------
 |                           \   2   /         2       
/
$$\int \sqrt{x^{2} - 2}\, dx = C + \frac{x \sqrt{x^{2} - 2}}{2} - \operatorname{acosh}{\left(\frac{\sqrt{2} x}{2} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
I   pi*I
- + ----
2    4
$$\frac{i}{2} + \frac{i \pi}{4}$$ 
=
= 
I   pi*I
- + ----
2    4
$$\frac{i}{2} + \frac{i \pi}{4}$$ 
i/2 + pi*i/4
Numerical answer [src] 
(0.0 + 1.28539816339745j)
(0.0 + 1.28539816339745j)
The graph
Integral of sqrt(x^2-2) dx

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

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