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sinh^2(x)
Solving integrals/ sinh^2(x)

Integral of sinh^2(x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1            
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 |      2      
 |  sinh (x) dx
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0
∫01sinh⁡2(x) dx\int\limits_{0}^{1} \sinh^{2}{\left(x \right)}\, dx
Simplify
The answer (Indefinite) [src] 
  /                                                           
 |                         2                              2   
 |     2             x*sinh (x)   cosh(x)*sinh(x)   x*cosh (x)
 | sinh (x) dx = C + ---------- + --------------- - ----------
 |                       2               2              2     
/
e2 x2−e−2 x2−2 x4{{{{e^{2\,x}}\over{2}}-{{e^ {- 2\,x }}\over{2}}-2\,x}\over{4}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
    2          2                     
sinh (1)   cosh (1)   cosh(1)*sinh(1)
-------- - -------- + ---------------
   2          2              2
e−2 (e4−4 e2−1)8{{e^ {- 2 }\,\left(e^4-4\,e^2-1\right)}\over{8}} 
=
= 
    2          2                     
sinh (1)   cosh (1)   cosh(1)*sinh(1)
-------- - -------- + ---------------
   2          2              2
−cosh⁡2(1)2+sinh⁡2(1)2+sinh⁡(1)cosh⁡(1)2- \frac{\cosh^{2}{\left(1 \right)}}{2} + \frac{\sinh^{2}{\left(1 \right)}}{2} + \frac{\sinh{\left(1 \right)} \cosh{\left(1 \right)}}{2}
Simplify
Numerical answer [src] 
0.406715101961755
0.406715101961755
The graph
Integral of sinh^2(x) dx

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

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