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Solving integrals/ sinh(ax)

Integral of sinh(ax) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |  sinh(a*x) dx
 |              
/               
0
$$\int\limits_{0}^{1} \sinh{\left(a x \right)}\, dx$$ 
Integral(sinh(a*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                   //cosh(a*x)            \
 |                    ||---------  for a != 0|
 | sinh(a*x) dx = C + |<    a                |
 |                    ||                     |
/                     \\    0      otherwise /
$${{\cosh \left(a\,x\right)}\over{a}}$$
Simplify
The answer [src] 
/  1   cosh(a)                                  
|- - + -------  for And(a > -oo, a < oo, a != 0)
<  a      a                                     
|                                               
\      0                   otherwise
$${{\cosh a}\over{a}}-{{1}\over{a}}$$ 
=
= 
/  1   cosh(a)                                  
|- - + -------  for And(a > -oo, a < oo, a != 0)
<  a      a                                     
|                                               
\      0                   otherwise
$$\begin{cases} \frac{\cosh{\left(a \right)}}{a} - \frac{1}{a} & \text{for}\: a > -\infty \wedge a < \infty \wedge a \neq 0 \\0 & \text{otherwise} \end{cases}$$
Simplify

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

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