/ / 3 3*x + 4 \ /3*x + 4\\
| / /3*x + 4\\ x*|----- - --------|*cos|-------|| -x / /3*x + 4\\
|log|sin|-------|| |x + 1 2| \ x + 1 /| x*e *log|sin|-------||
| \ \ x + 1 // \ (x + 1) / | -x \ \ x + 1 //
|----------------- + ---------------------------------|*e - -----------------------
| log(2) /3*x + 4\ | log(2)
| log(2)*sin|-------| |
\ \ x + 1 / /
$$- \frac{x e^{- x} \log{\left(\sin{\left(\frac{3 x + 4}{x + 1} \right)} \right)}}{\log{\left(2 \right)}} + \left(\frac{x \left(\frac{3}{x + 1} - \frac{3 x + 4}{\left(x + 1\right)^{2}}\right) \cos{\left(\frac{3 x + 4}{x + 1} \right)}}{\log{\left(2 \right)} \sin{\left(\frac{3 x + 4}{x + 1} \right)}} + \frac{\log{\left(\sin{\left(\frac{3 x + 4}{x + 1} \right)} \right)}}{\log{\left(2 \right)}}\right) e^{- x}$$
/ / / /4 + 3*x\ 2/4 + 3*x\ / 4 + 3*x\\\ \
| | | 2*cos|-------| cos |-------|*|3 - -------||| |
| | | 4 + 3*x \ 1 + x / \ 1 + x / \ 1 + x /|| |
| | x*|3 - ------- + -------------- + ---------------------------|| |
| | /4 + 3*x\ | 1 + x /4 + 3*x\ 2/4 + 3*x\ || |
| | 2*cos|-------| | sin|-------| sin |-------| || |
| / 4 + 3*x\ | \ 1 + x / \ \ 1 + x / \ 1 + x / /| |
| |3 - -------|*|- -------------- + --------------------------------------------------------------| |
| \ 1 + x / | /4 + 3*x\ 1 + x | / 4 + 3*x\ /4 + 3*x\|
| | sin|-------| | 2*x*|3 - -------|*cos|-------||
| / /4 + 3*x\\ / /4 + 3*x\\ \ \ 1 + x / / \ 1 + x / \ 1 + x /| -x
|- 2*log|sin|-------|| + x*log|sin|-------|| - ------------------------------------------------------------------------------------------------- - ------------------------------|*e
| \ \ 1 + x // \ \ 1 + x // 1 + x /4 + 3*x\ |
| (1 + x)*sin|-------| |
\ \ 1 + x / /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
log(2)
$$\frac{\left(- \frac{2 x \left(3 - \frac{3 x + 4}{x + 1}\right) \cos{\left(\frac{3 x + 4}{x + 1} \right)}}{\left(x + 1\right) \sin{\left(\frac{3 x + 4}{x + 1} \right)}} + x \log{\left(\sin{\left(\frac{3 x + 4}{x + 1} \right)} \right)} - \frac{\left(3 - \frac{3 x + 4}{x + 1}\right) \left(\frac{x \left(\frac{\left(3 - \frac{3 x + 4}{x + 1}\right) \cos^{2}{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin^{2}{\left(\frac{3 x + 4}{x + 1} \right)}} + 3 + \frac{2 \cos{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin{\left(\frac{3 x + 4}{x + 1} \right)}} - \frac{3 x + 4}{x + 1}\right)}{x + 1} - \frac{2 \cos{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin{\left(\frac{3 x + 4}{x + 1} \right)}}\right)}{x + 1} - 2 \log{\left(\sin{\left(\frac{3 x + 4}{x + 1} \right)} \right)}\right) e^{- x}}{\log{\left(2 \right)}}$$
/ / / 2 2 \ \ \
| | | /4 + 3*x\ / 4 + 3*x\ 3/4 + 3*x\ / 4 + 3*x\ /4 + 3*x\ 2/4 + 3*x\ / 4 + 3*x\| | / / /4 + 3*x\ 2/4 + 3*x\ / 4 + 3*x\\\ |
| | | 3*cos|-------| |3 - -------| *cos |-------| |3 - -------| *cos|-------| 3*cos |-------|*|3 - -------|| | | | 2*cos|-------| cos |-------|*|3 - -------||| |
| | | 3*(4 + 3*x) \ 1 + x / \ 1 + x / \ 1 + x / \ 1 + x / \ 1 + x / \ 1 + x / \ 1 + x /| | | | 4 + 3*x \ 1 + x / \ 1 + x / \ 1 + x /|| |
| | 2*x*|9 - ----------- + -------------- + ---------------------------- + --------------------------- + -----------------------------| | | x*|3 - ------- + -------------- + ---------------------------|| |
| | /4 + 3*x\ | 1 + x /4 + 3*x\ 3/4 + 3*x\ /4 + 3*x\ 2/4 + 3*x\ | 2/4 + 3*x\ / 4 + 3*x\| | /4 + 3*x\ | 1 + x /4 + 3*x\ 2/4 + 3*x\ || |
| | 6*cos|-------| | sin|-------| sin |-------| sin|-------| sin |-------| | 3*cos |-------|*|3 - -------|| | 2*cos|-------| | sin|-------| sin |-------| || |
| / 4 + 3*x\ | 3*(4 + 3*x) \ 1 + x / \ \ 1 + x / \ 1 + x / \ 1 + x / \ 1 + x / / \ 1 + x / \ 1 + x /| / 4 + 3*x\ | \ 1 + x / \ \ 1 + x / \ 1 + x / /| |
| |3 - -------|*|9 - ----------- + -------------- - ----------------------------------------------------------------------------------------------------------------------------------- + -----------------------------| 3*|3 - -------|*|- -------------- + --------------------------------------------------------------| |
| \ 1 + x / | 1 + x /4 + 3*x\ 1 + x 2/4 + 3*x\ | \ 1 + x / | /4 + 3*x\ 1 + x | / 4 + 3*x\ /4 + 3*x\|
| | sin|-------| sin |-------| | | sin|-------| | 3*x*|3 - -------|*cos|-------||
| / /4 + 3*x\\ / /4 + 3*x\\ \ \ 1 + x / \ 1 + x / / \ \ 1 + x / / \ 1 + x / \ 1 + x /| -x
|3*log|sin|-------|| - x*log|sin|-------|| - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------- + ------------------------------|*e
| \ \ 1 + x // \ \ 1 + x // 2 1 + x /4 + 3*x\ |
| (1 + x) (1 + x)*sin|-------| |
\ \ 1 + x / /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
log(2)
$$\frac{\left(\frac{3 x \left(3 - \frac{3 x + 4}{x + 1}\right) \cos{\left(\frac{3 x + 4}{x + 1} \right)}}{\left(x + 1\right) \sin{\left(\frac{3 x + 4}{x + 1} \right)}} - x \log{\left(\sin{\left(\frac{3 x + 4}{x + 1} \right)} \right)} + \frac{3 \left(3 - \frac{3 x + 4}{x + 1}\right) \left(\frac{x \left(\frac{\left(3 - \frac{3 x + 4}{x + 1}\right) \cos^{2}{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin^{2}{\left(\frac{3 x + 4}{x + 1} \right)}} + 3 + \frac{2 \cos{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin{\left(\frac{3 x + 4}{x + 1} \right)}} - \frac{3 x + 4}{x + 1}\right)}{x + 1} - \frac{2 \cos{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin{\left(\frac{3 x + 4}{x + 1} \right)}}\right)}{x + 1} - \frac{\left(3 - \frac{3 x + 4}{x + 1}\right) \left(- \frac{2 x \left(\frac{\left(3 - \frac{3 x + 4}{x + 1}\right)^{2} \cos{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin{\left(\frac{3 x + 4}{x + 1} \right)}} + \frac{\left(3 - \frac{3 x + 4}{x + 1}\right)^{2} \cos^{3}{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin^{3}{\left(\frac{3 x + 4}{x + 1} \right)}} + \frac{3 \left(3 - \frac{3 x + 4}{x + 1}\right) \cos^{2}{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin^{2}{\left(\frac{3 x + 4}{x + 1} \right)}} + 9 + \frac{3 \cos{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin{\left(\frac{3 x + 4}{x + 1} \right)}} - \frac{3 \left(3 x + 4\right)}{x + 1}\right)}{x + 1} + \frac{3 \left(3 - \frac{3 x + 4}{x + 1}\right) \cos^{2}{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin^{2}{\left(\frac{3 x + 4}{x + 1} \right)}} + 9 + \frac{6 \cos{\left(\frac{3 x + 4}{x + 1} \right)}}{\sin{\left(\frac{3 x + 4}{x + 1} \right)}} - \frac{3 \left(3 x + 4\right)}{x + 1}\right)}{\left(x + 1\right)^{2}} + 3 \log{\left(\sin{\left(\frac{3 x + 4}{x + 1} \right)} \right)}\right) e^{- x}}{\log{\left(2 \right)}}$$