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Solving integrals/ sqrt(y^2-1)

Integral of sqrt(y^2-1) dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |     ________   
 |    /  2        
 |  \/  y  - 1  dy
 |                
/                 
0
$$\int\limits_{0}^{1} \sqrt{y^{2} - 1}\, dy$$ 
Integral(sqrt(y^2 - 1), (y, 0, 1))
The answer (Indefinite) [src] 
  /                                              
 |                                      _________
 |    ________                         /       2 
 |   /  2               acosh(y)   y*\/  -1 + y  
 | \/  y  - 1  dy = C - -------- + --------------
 |                         2             2       
/
$$\int \sqrt{y^{2} - 1}\, dy = C + \frac{y \sqrt{y^{2} - 1}}{2} - \frac{\operatorname{acosh}{\left(y \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
pi*I
----
 4
$$\frac{i \pi}{4}$$ 
=
= 
pi*I
----
 4
$$\frac{i \pi}{4}$$ 
pi*i/4
Numerical answer [src] 
(0.0 + 0.785398163397448j)
(0.0 + 0.785398163397448j)

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

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