Mister Exam

Other calculators

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
∫01x2−2 dx\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       
/
∫x2−2 dx=C+xx2−22−acosh⁡(2x2)\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
-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
Plot the graph f(x)
The answer [src] 
I   pi*I
- + ----
2    4
i2+iπ4\frac{i}{2} + \frac{i \pi}{4} 
=
= 
I   pi*I
- + ----
2    4
i2+iπ4\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.

    © Mister Exam – Calculator