/ /pi*x*(3 - x)\ 2 / 2/pi*x*(3 - x)\\\
| 8*tan|------------| pi*(-3 + 2*x) *|1 - tan |------------|||
___ | \ 16 / \ \ 16 //|
pi*\/ 2 *|---------------------- - ---------------------------------------|
| 2/pi*x*(3 - x)\ / 2/pi*x*(3 - x)\\ |
|1 + tan |------------| 4*|1 + tan |------------|| |
\ \ 16 / \ \ 16 // /
---------------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(1 - \tan^{2}{\left(\frac{\pi x \left(3 - x\right)}{16} \right)}\right) \left(2 x - 3\right)^{2}}{4 \left(\tan^{2}{\left(\frac{\pi x \left(3 - x\right)}{16} \right)} + 1\right)} + \frac{8 \tan{\left(\frac{\pi x \left(3 - x\right)}{16} \right)}}{\tan^{2}{\left(\frac{\pi x \left(3 - x\right)}{16} \right)} + 1}\right)}{160}$$
/ 2 \
___ | 4 pi*(-3 + 2*x) |
pi*\/ 2 *|------------------------ - --------------------|
| / pi pi*x*(3 - x)\ /pi*x*(-3 + x)\|
|sec|- -- + ------------| 4*sec|-------------||
\ \ 2 8 / \ 8 //
----------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2}}{4 \sec{\left(\frac{\pi x \left(x - 3\right)}{8} \right)}} + \frac{4}{\sec{\left(\frac{\pi x \left(3 - x\right)}{8} - \frac{\pi}{2} \right)}}\right)}{160}$$
/ 2 \
___ | 4 pi*(-3 + 2*x) |
pi*\/ 2 *|----------------- - ------------------------|
| /pi*x*(3 - x)\ /pi pi*x*(3 - x)\|
|csc|------------| 4*csc|-- - ------------||
\ \ 8 / \2 8 //
-------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2}}{4 \csc{\left(- \frac{\pi x \left(3 - x\right)}{8} + \frac{\pi}{2} \right)}} + \frac{4}{\csc{\left(\frac{\pi x \left(3 - x\right)}{8} \right)}}\right)}{160}$$
/ /pi*x*(-3 + x)\ 2 / 2/pi*x*(-3 + x)\\\
| 8*tan|-------------| pi*(-3 + 2*x) *|1 - tan |-------------|||
___ | \ 16 / \ \ 16 //|
pi*\/ 2 *|- ----------------------- - ----------------------------------------|
| 2/pi*x*(-3 + x)\ / 2/pi*x*(-3 + x)\\ |
| 1 + tan |-------------| 4*|1 + tan |-------------|| |
\ \ 16 / \ \ 16 // /
-------------------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(1 - \tan^{2}{\left(\frac{\pi x \left(x - 3\right)}{16} \right)}\right) \left(2 x - 3\right)^{2}}{4 \left(\tan^{2}{\left(\frac{\pi x \left(x - 3\right)}{16} \right)} + 1\right)} - \frac{8 \tan{\left(\frac{\pi x \left(x - 3\right)}{16} \right)}}{\tan^{2}{\left(\frac{\pi x \left(x - 3\right)}{16} \right)} + 1}\right)}{160}$$
/ 2 /pi pi*x*(-3 + x)\\
| pi*(-3 + 2*x) *sin|-- + -------------||
___ | /pi*x*(3 - x)\ \2 8 /|
pi*\/ 2 *|4*sin|------------| - --------------------------------------|
\ \ 8 / 4 /
-----------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \sin{\left(\frac{\pi x \left(x - 3\right)}{8} + \frac{\pi}{2} \right)}}{4} + 4 \sin{\left(\frac{\pi x \left(3 - x\right)}{8} \right)}\right)}{160}$$
/ 2 /pi*x*(-3 + x)\\
| pi*(-3 + 2*x) *cos|-------------||
___ | /pi*x*(3 - x)\ \ 8 /|
pi*\/ 2 *|4*sin|------------| - ---------------------------------|
\ \ 8 / 4 /
------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \cos{\left(\frac{\pi x \left(x - 3\right)}{8} \right)}}{4} + 4 \sin{\left(\frac{\pi x \left(3 - x\right)}{8} \right)}\right)}{160}$$
/ 2 /pi pi*x*(3 - x)\\
| pi*(-3 + 2*x) *sin|-- + ------------||
___ | /pi*x*(3 - x)\ \2 8 /|
pi*\/ 2 *|4*sin|------------| - -------------------------------------|
\ \ 8 / 4 /
----------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \sin{\left(\frac{\pi x \left(3 - x\right)}{8} + \frac{\pi}{2} \right)}}{4} + 4 \sin{\left(\frac{\pi x \left(3 - x\right)}{8} \right)}\right)}{160}$$
/ /pi*x*(3 - x)\ 2 / 2/pi*x*(3 - x)\\\
| 8*cot|------------| pi*(-3 + 2*x) *|-1 + cot |------------|||
___ | \ 16 / \ \ 16 //|
pi*\/ 2 *|---------------------- - ----------------------------------------|
| 2/pi*x*(3 - x)\ / 2/pi*x*(3 - x)\\ |
|1 + cot |------------| 4*|1 + cot |------------|| |
\ \ 16 / \ \ 16 // /
----------------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \left(\cot^{2}{\left(\frac{\pi x \left(3 - x\right)}{16} \right)} - 1\right)}{4 \left(\cot^{2}{\left(\frac{\pi x \left(3 - x\right)}{16} \right)} + 1\right)} + \frac{8 \cot{\left(\frac{\pi x \left(3 - x\right)}{16} \right)}}{\cot^{2}{\left(\frac{\pi x \left(3 - x\right)}{16} \right)} + 1}\right)}{160}$$
/ 2 /pi*x*(3 - x)\\
| pi*(-3 + 2*x) *cos|------------||
___ | / pi pi*x*(3 - x)\ \ 8 /|
pi*\/ 2 *|4*cos|- -- + ------------| - --------------------------------|
\ \ 2 8 / 4 /
------------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \cos{\left(\frac{\pi x \left(3 - x\right)}{8} \right)}}{4} + 4 \cos{\left(\frac{\pi x \left(3 - x\right)}{8} - \frac{\pi}{2} \right)}\right)}{160}$$
/ 2 /pi*x*(-3 + x)\\
| pi*(-3 + 2*x) *cos|-------------||
___ | / pi pi*x*(-3 + x)\ \ 8 /|
pi*\/ 2 *|- 4*cos|- -- + -------------| - ---------------------------------|
\ \ 2 8 / 4 /
----------------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \cos{\left(\frac{\pi x \left(x - 3\right)}{8} \right)}}{4} - 4 \cos{\left(\frac{\pi x \left(x - 3\right)}{8} - \frac{\pi}{2} \right)}\right)}{160}$$
/ /pi*x*(-3 + x)\ 2 / 2/pi*x*(-3 + x)\\\
| 8*cot|-------------| pi*(-3 + 2*x) *|-1 + cot |-------------|||
___ | \ 16 / \ \ 16 //|
pi*\/ 2 *|- ----------------------- - -----------------------------------------|
| 2/pi*x*(-3 + x)\ / 2/pi*x*(-3 + x)\\ |
| 1 + cot |-------------| 4*|1 + cot |-------------|| |
\ \ 16 / \ \ 16 // /
--------------------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \left(\cot^{2}{\left(\frac{\pi x \left(x - 3\right)}{16} \right)} - 1\right)}{4 \left(\cot^{2}{\left(\frac{\pi x \left(x - 3\right)}{16} \right)} + 1\right)} - \frac{8 \cot{\left(\frac{\pi x \left(x - 3\right)}{16} \right)}}{\cot^{2}{\left(\frac{\pi x \left(x - 3\right)}{16} \right)} + 1}\right)}{160}$$
/ 2 /pi*x*(-3 + x)\\
| pi*(-3 + 2*x) *cos|-------------||
___ | /pi*x*(-3 + x)\ \ 8 /|
pi*\/ 2 *|- 4*sin|-------------| - ---------------------------------|
\ \ 8 / 4 /
---------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \cos{\left(\frac{\pi x \left(x - 3\right)}{8} \right)}}{4} - 4 \sin{\left(\frac{\pi x \left(x - 3\right)}{8} \right)}\right)}{160}$$
/ 2 /pi pi*x*(-3 + x)\\
| pi*(-3 + 2*x) *sin|-- + -------------||
___ | /pi*x*(-3 + x)\ \2 8 /|
pi*\/ 2 *|- 4*sin|-------------| - --------------------------------------|
\ \ 8 / 4 /
--------------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \sin{\left(\frac{\pi x \left(x - 3\right)}{8} + \frac{\pi}{2} \right)}}{4} - 4 \sin{\left(\frac{\pi x \left(x - 3\right)}{8} \right)}\right)}{160}$$
/ /pi*x*(3 - x)\ 2 / 2/pi*x*(-3 + x)\\\
| 8*tan|------------| pi*(-3 + 2*x) *|1 - tan |-------------|||
___ | \ 16 / \ \ 16 //|
pi*\/ 2 *|---------------------- - ----------------------------------------|
| 2/pi*x*(3 - x)\ / 2/pi*x*(-3 + x)\\ |
|1 + tan |------------| 4*|1 + tan |-------------|| |
\ \ 16 / \ \ 16 // /
----------------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(1 - \tan^{2}{\left(\frac{\pi x \left(x - 3\right)}{16} \right)}\right) \left(2 x - 3\right)^{2}}{4 \left(\tan^{2}{\left(\frac{\pi x \left(x - 3\right)}{16} \right)} + 1\right)} + \frac{8 \tan{\left(\frac{\pi x \left(3 - x\right)}{16} \right)}}{\tan^{2}{\left(\frac{\pi x \left(3 - x\right)}{16} \right)} + 1}\right)}{160}$$
/ 2 /pi*x*(-3 + x)\\
| pi*(-3 + 2*x) *cos|-------------||
___ | / pi pi*x*(3 - x)\ \ 8 /|
pi*\/ 2 *|4*cos|- -- + ------------| - ---------------------------------|
\ \ 2 8 / 4 /
-------------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \cos{\left(\frac{\pi x \left(x - 3\right)}{8} \right)}}{4} + 4 \cos{\left(\frac{\pi x \left(3 - x\right)}{8} - \frac{\pi}{2} \right)}\right)}{160}$$
/ 2 \
___ | 4 pi*(-3 + 2*x) |
pi*\/ 2 *|------------------------ - -------------------|
| / pi pi*x*(3 - x)\ /pi*x*(3 - x)\|
|sec|- -- + ------------| 4*sec|------------||
\ \ 2 8 / \ 8 //
---------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2}}{4 \sec{\left(\frac{\pi x \left(3 - x\right)}{8} \right)}} + \frac{4}{\sec{\left(\frac{\pi x \left(3 - x\right)}{8} - \frac{\pi}{2} \right)}}\right)}{160}$$
/ 2 /pi*x*(-3 + x)\\
| pi*(-3 + 2*x) *cos|-------------||
___ | /pi*x*(3 - x)\ \ 8 /|
pi*\/ 2 *|4*sin|------------| - ---------------------------------|
\ \ 8 / 4 /
------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \cos{\left(\frac{\pi x \left(x - 3\right)}{8} \right)}}{4} + 4 \sin{\left(\frac{\pi x \left(3 - x\right)}{8} \right)}\right)}{160}$$
/ 2 \
___ | 4 pi*(-3 + 2*x) |
pi*\/ 2 *|----------------- - -------------------------|
| /pi*x*(3 - x)\ /pi pi*x*(-3 + x)\|
|csc|------------| 4*csc|-- - -------------||
\ \ 8 / \2 8 //
--------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2}}{4 \csc{\left(- \frac{\pi x \left(x - 3\right)}{8} + \frac{\pi}{2} \right)}} + \frac{4}{\csc{\left(\frac{\pi x \left(3 - x\right)}{8} \right)}}\right)}{160}$$
/ 2 \
___ | 4 pi*(-3 + 2*x) |
pi*\/ 2 *|- ------------------ - -------------------------|
| /pi*x*(-3 + x)\ /pi pi*x*(-3 + x)\|
| csc|-------------| 4*csc|-- - -------------||
\ \ 8 / \2 8 //
-----------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2}}{4 \csc{\left(- \frac{\pi x \left(x - 3\right)}{8} + \frac{\pi}{2} \right)}} - \frac{4}{\csc{\left(\frac{\pi x \left(x - 3\right)}{8} \right)}}\right)}{160}$$
/ 2 \
___ | 4 pi*(-3 + 2*x) |
pi*\/ 2 *|----------------- - -------------------|
| /pi*x*(3 - x)\ /pi*x*(3 - x)\|
|csc|------------| 4*sec|------------||
\ \ 8 / \ 8 //
--------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2}}{4 \sec{\left(\frac{\pi x \left(3 - x\right)}{8} \right)}} + \frac{4}{\csc{\left(\frac{\pi x \left(3 - x\right)}{8} \right)}}\right)}{160}$$
/ /pi*x*(3 - x)\ 2 / 2/pi*x*(-3 + x)\\\
| 8*cot|------------| pi*(-3 + 2*x) *|-1 + cot |-------------|||
___ | \ 16 / \ \ 16 //|
pi*\/ 2 *|---------------------- - -----------------------------------------|
| 2/pi*x*(3 - x)\ / 2/pi*x*(-3 + x)\\ |
|1 + cot |------------| 4*|1 + cot |-------------|| |
\ \ 16 / \ \ 16 // /
-----------------------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2} \left(\cot^{2}{\left(\frac{\pi x \left(x - 3\right)}{16} \right)} - 1\right)}{4 \left(\cot^{2}{\left(\frac{\pi x \left(x - 3\right)}{16} \right)} + 1\right)} + \frac{8 \cot{\left(\frac{\pi x \left(3 - x\right)}{16} \right)}}{\cot^{2}{\left(\frac{\pi x \left(3 - x\right)}{16} \right)} + 1}\right)}{160}$$
/ 2 \
___ | 4 pi*(-3 + 2*x) |
pi*\/ 2 *|- ------------------------- - --------------------|
| / pi pi*x*(-3 + x)\ /pi*x*(-3 + x)\|
| sec|- -- + -------------| 4*sec|-------------||
\ \ 2 8 / \ 8 //
-------------------------------------------------------------
160
$$\frac{\sqrt{2} \pi \left(- \frac{\pi \left(2 x - 3\right)^{2}}{4 \sec{\left(\frac{\pi x \left(x - 3\right)}{8} \right)}} - \frac{4}{\sec{\left(\frac{\pi x \left(x - 3\right)}{8} - \frac{\pi}{2} \right)}}\right)}{160}$$
pi*sqrt(2)*(-4/sec(-pi/2 + pi*x*(-3 + x)/8) - pi*(-3 + 2*x)^2/(4*sec(pi*x*(-3 + x)/8)))/160