/ / / / 2 2 2 \\ / / 2 2 2 \\\ / / / 2 2 2 \\ / / 2 2 2 \\ \ / / 2 2 2 \\\
/ / 2 / / 2 2 2 \\ / / 2 2 2 \\ / / 2 2 2 \\\ / 2 / / 2 2 2 \\ / / 2 2 2 \\ / / 2 2 2 \\ \ \ |/ ___________________________________________ \ | / 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| |atan2\-2*im(a)*re(a), x + im (a) - re (a)/|| |/ 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| | |atan2\-2*im(a)*re(a), x + im (a) - re (a)/||
| / ___________________________________________ \ | 2 / 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| 2 2 2 |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| 2 / 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/|| | 2 / 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| 2 2 2 |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| 2 / 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| | | || / 2 / / 2 2 2 \\| | x*\x + im (a) - re (a)/*cos|-------------------------------------------| 2*x*im(a)*re(a)*sin|-------------------------------------------|| x*|\x + im (a) - re (a)/*sin|-------------------------------------------| + 2*cos|-------------------------------------------|*im(a)*re(a)|*sin|-------------------------------------------|| / _________\
| | / 2 / / 2 2 2 \\| | / / 2 2 2 \\ / / 2 2 2 \\ / / 2 2 2 \\ 3*x *\x + im (a) - re (a)/ *cos|-------------------------------------------| 4*x *im (a)*re (a)*cos|-------------------------------------------| 4*x *\x + im (a) - re (a)/*im(a)*re(a)*sin|-------------------------------------------|| | / / 2 2 2 \\ / / 2 2 2 \\ / / 2 2 2 \\ 3*x *\x + im (a) - re (a)/ *sin|-------------------------------------------| 4*x *im (a)*re (a)*sin|-------------------------------------------| 4*x *\x + im (a) - re (a)/*cos|-------------------------------------------|*im(a)*re(a)| / / 2 2 2 \\ | / x \ || 4 / / 2 2 2 \ 2 2 |atan2\-2*im(a)*re(a), x + im (a) - re (a)/|| | \ 2 / \ 2 /| \ \ 2 / \ 2 / / \ 2 /| | / 2 2 |
| 2 | 4 / / 2 2 2 \ 2 2 |atan2\-2*im(a)*re(a), x + im (a) - re (a)/|| |/ 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| 2 |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| \ 2 / \ 2 / \ 2 /| |/ 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| 2 |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| \ 2 / \ 2 / \ 2 / | |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| | |1 + ------------|*||x + \/ \x + im (a) - re (a)/ + 4*im (a)*re (a) *cos|-------------------------------------------||*|1 + ------------------------------------------------------------------------- - ----------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*sign\x + \/ x - a /
/ / / / 2 2 2 \\ / / 2 2 2 \\\ / / / 2 2 2 \\ / / 2 2 2 \\ \ / / 2 2 2 \\\ |/ / / 2 2 2 \\ / / 2 2 2 \\\ |x + \/ \x + im (a) - re (a)/ + 4*im (a)*re (a) *cos|-------------------------------------------||*|\x + im (a) - re (a)/*cos|-------------------------------------------| + 2*x *cos|-------------------------------------------| - 2*im(a)*re(a)*sin|-------------------------------------------| - ----------------------------------------------------------------------------- - ------------------------------------------------------------------- + ----------------------------------------------------------------------------------------| |\x + im (a) - re (a)/*sin|-------------------------------------------| + 2*x *sin|-------------------------------------------| + 2*cos|-------------------------------------------|*im(a)*re(a) - ----------------------------------------------------------------------------- - ------------------------------------------------------------------- - ----------------------------------------------------------------------------------------|*sin|-------------------------------------------| / / / 2 2 2 \\ / / 2 2 2 \\ \ / / 2 2 2 \\ / / / 2 2 2 \\ / / 2 2 2 \\ \ / / 2 2 2 \\ | | _________| |\ \ 2 // | 3/4 3/4 | ___________________________________________ |
|/ ___________________________________________ \ | / 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| |atan2\-2*im(a)*re(a), x + im (a) - re (a)/|| |/ 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| | |atan2\-2*im(a)*re(a), x + im (a) - re (a)/|| || / 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| |atan2\-2*im(a)*re(a), x + im (a) - re (a)/|| \ \ 2 // | \ 2 / \ 2 / \ 2 / 2 2 2 | | \ 2 / \ 2 / \ 2 / 2 2 2 | \ 2 / 2 |/ 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| | / 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| 2 |/ 2 2 2 \ |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| | |atan2\-2*im(a)*re(a), x + im (a) - re (a)/| | | / 2 2 | | | / 2 \ / 2 \ | / 2 |
|| / 2 / / 2 2 2 \\| | x*\x + im (a) - re (a)/*cos|-------------------------------------------| 2*x*im(a)*re(a)*sin|-------------------------------------------|| x*|\x + im (a) - re (a)/*sin|-------------------------------------------| + 2*cos|-------------------------------------------|*im(a)*re(a)|*sin|-------------------------------------------|| / / _________\\ || x*\x + im (a) - re (a)/*cos|-------------------------------------------| 2*x*im(a)*re(a)*sin|-------------------------------------------|| | / 2 2 2 \ 2 2 / 2 2 2 \ 2 2 / 2 2 2 \ 2 2 | | / 2 2 2 \ 2 2 / 2 2 2 \ 2 2 / 2 2 2 \ 2 2 | x *|\x + im (a) - re (a)/*sin|-------------------------------------------| + 2*cos|-------------------------------------------|*im(a)*re(a)|*\x + im (a) - re (a)/*sin|-------------------------------------------| 2*x *|\x + im (a) - re (a)/*sin|-------------------------------------------| + 2*cos|-------------------------------------------|*im(a)*re(a)|*cos|-------------------------------------------|*im(a)*re(a)| / _________\ \ \/ x - a / | | |/ 2 2 2 \ 2 2 | |/ 2 2 2 \ 2 2 | | / / 2 2 2 \ 2 2 |
|| 4 / / 2 2 2 \ 2 2 |atan2\-2*im(a)*re(a), x + im (a) - re (a)/|| | \ 2 / \ 2 /| \ \ 2 / \ 2 / / \ 2 /| d | | / 2 2 || || \ 2 / \ 2 /| \ \x + im (a) - re (a)/ + 4*im (a)*re (a) \x + im (a) - re (a)/ + 4*im (a)*re (a) \x + im (a) - re (a)/ + 4*im (a)*re (a) / \ \x + im (a) - re (a)/ + 4*im (a)*re (a) \x + im (a) - re (a)/ + 4*im (a)*re (a) \x + im (a) - re (a)/ + 4*im (a)*re (a) / \ \ 2 / \ 2 / / \ 2 / \ \ 2 / \ 2 / / \ 2 / | | / 2 2 | \ \ \\x + im (a) - re (a)/ + 4*im (a)*re (a)/ \\x + im (a) - re (a)/ + 4*im (a)*re (a)/ / \/ \x + im (a) - re (a)/ + 4*im (a)*re (a) /
||x + \/ \x + im (a) - re (a)/ + 4*im (a)*re (a) *cos|-------------------------------------------||*|1 + ------------------------------------------------------------------------- - ----------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*--\sign\x + \/ x - a // + ||1 + ------------------------------------------------------------------------- - ----------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*sign\x + \/ x - a / - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|\ \ 2 // | 3/4 3/4 | ___________________________________________ | dx || 3/4 3/4 | 3/4 ___________________________________________ 3/2 3/2 | _________
| | / 2 \ / 2 \ | / 2 | || / 2 \ / 2 \ | / 2 \ / 2 / 2 \ / 2 \ | / 2 2
| | |/ 2 2 2 \ 2 2 | |/ 2 2 2 \ 2 2 | | / / 2 2 2 \ 2 2 | || |/ 2 2 2 \ 2 2 | |/ 2 2 2 \ 2 2 | | |/ 2 2 2 \ 2 2 | / / 2 2 2 \ 2 2 |/ 2 2 2 \ 2 2 | |/ 2 2 2 \ 2 2 | | x + \/ x - a
\ \ \\x + im (a) - re (a)/ + 4*im (a)*re (a)/ \\x + im (a) - re (a)/ + 4*im (a)*re (a)/ / \/ \x + im (a) - re (a)/ + 4*im (a)*re (a) / \\ \\x + im (a) - re (a)/ + 4*im (a)*re (a)/ \\x + im (a) - re (a)/ + 4*im (a)*re (a)/ / \\x + im (a) - re (a)/ + 4*im (a)*re (a)/ \/ \x + im (a) - re (a)/ + 4*im (a)*re (a) \\x + im (a) - re (a)/ + 4*im (a)*re (a)/ \\x + im (a) - re (a)/ + 4*im (a)*re (a)/ /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_________
/ 2 2
x + \/ x - a