/ 1 3*E*x*sinh(x*E)\ x*cos(x)
|---------- - ---------------|*sin(x) + ----------
| 3 4 | 3
\cosh (x*E) cosh (x*E) / cosh (x*E)
$$\frac{x \cos{\left(x \right)}}{\cosh^{3}{\left(e x \right)}} + \left(- \frac{3 e x \sinh{\left(e x \right)}}{\cosh^{4}{\left(e x \right)}} + \frac{1}{\cosh^{3}{\left(e x \right)}}\right) \sin{\left(x \right)}$$
/ 2 \
/ 3*E*x*sinh(E*x)\ | 2*sinh(E*x) 4*E*x*sinh (E*x)| 3*E*x*cos(x)*sinh(E*x)
-x*sin(x) - |-1 + ---------------|*cos(x) - 3*E*|E*x + ----------- - ----------------|*sin(x) - ---------------------- + cos(x)
\ cosh(E*x) / | cosh(E*x) 2 | cosh(E*x)
\ cosh (E*x) /
-------------------------------------------------------------------------------------------------------------------------------
3
cosh (E*x)
$$\frac{- x \sin{\left(x \right)} - \frac{3 e x \cos{\left(x \right)} \sinh{\left(e x \right)}}{\cosh{\left(e x \right)}} - \left(\frac{3 e x \sinh{\left(e x \right)}}{\cosh{\left(e x \right)}} - 1\right) \cos{\left(x \right)} - 3 e \left(- \frac{4 e x \sinh^{2}{\left(e x \right)}}{\cosh^{2}{\left(e x \right)}} + e x + \frac{2 \sinh{\left(e x \right)}}{\cosh{\left(e x \right)}}\right) \sin{\left(x \right)} + \cos{\left(x \right)}}{\cosh^{3}{\left(e x \right)}}$$
/ 2 \ / 2 3 \ 2 2
/ 3*E*x*sinh(E*x)\ | 2*sinh(E*x) 4*E*x*sinh (E*x)| 2 | 12*sinh (E*x) 11*E*x*sinh(E*x) 20*E*x*sinh (E*x)| 2 6*E*cos(x)*sinh(E*x) 6*E*x*sin(x)*sinh(E*x) 12*x*sinh (E*x)*cos(x)*e
-2*sin(x) + |-1 + ---------------|*sin(x) - x*cos(x) - 6*E*|E*x + ----------- - ----------------|*cos(x) - 3*x*cos(x)*e - 3*|3 - ------------- - ---------------- + -----------------|*e *sin(x) - -------------------- + ---------------------- + -------------------------
\ cosh(E*x) / | cosh(E*x) 2 | | 2 cosh(E*x) 3 | cosh(E*x) cosh(E*x) 2
\ cosh (E*x) / \ cosh (E*x) cosh (E*x) / cosh (E*x)
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3
cosh (E*x)
$$\frac{\frac{6 e x \sin{\left(x \right)} \sinh{\left(e x \right)}}{\cosh{\left(e x \right)}} + \frac{12 x e^{2} \cos{\left(x \right)} \sinh^{2}{\left(e x \right)}}{\cosh^{2}{\left(e x \right)}} - 3 x e^{2} \cos{\left(x \right)} - x \cos{\left(x \right)} + \left(\frac{3 e x \sinh{\left(e x \right)}}{\cosh{\left(e x \right)}} - 1\right) \sin{\left(x \right)} - 6 e \left(- \frac{4 e x \sinh^{2}{\left(e x \right)}}{\cosh^{2}{\left(e x \right)}} + e x + \frac{2 \sinh{\left(e x \right)}}{\cosh{\left(e x \right)}}\right) \cos{\left(x \right)} - 3 \left(\frac{20 e x \sinh^{3}{\left(e x \right)}}{\cosh^{3}{\left(e x \right)}} - \frac{11 e x \sinh{\left(e x \right)}}{\cosh{\left(e x \right)}} - \frac{12 \sinh^{2}{\left(e x \right)}}{\cosh^{2}{\left(e x \right)}} + 3\right) e^{2} \sin{\left(x \right)} - 2 \sin{\left(x \right)} - \frac{6 e \cos{\left(x \right)} \sinh{\left(e x \right)}}{\cosh{\left(e x \right)}}}{\cosh^{3}{\left(e x \right)}}$$