Mister Exam

Integral of sinh^-1x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1           
  /           
 |            
 |     1      
 |  ------- dx
 |  sinh(x)   
 |            
/             
0             
$$\int\limits_{0}^{1} \frac{1}{\sinh{\left(x \right)}}\, dx$$
Integral(1/sinh(x), (x, 0, 1))
The answer (Indefinite) [src]
  /                             
 |                              
 |    1                /    /x\\
 | ------- dx = C + log|tanh|-||
 | sinh(x)             \    \2//
 |                              
/                               
$$2\,\left({{\log \left(e^ {- x }-1\right)}\over{2}}-{{\log \left(e ^ {- x }+1\right)}\over{2}}\right)$$
The answer [src]
oo
$${\it \%a}$$
=
=
oo
$$\infty$$
Numerical answer [src]
44.0116564816475
44.0116564816475

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