/ / / 2 \ \ \
| | | / / / 2\\\ | | |
| | | | | | / 2 \ ||| | | |
| | | | _____________________ | | 3 + |1 - -----| ||| | | |
| | | | / 2 | | \ 1 + x/ ||| | | |
| | | | / / 2\ |atan2|0, ----------------||| | | |
| | | / / / 2\\ / / 2\\ / / 2\\\ | / | / 2 \ | / 2 \ | \ 4 /|| / / 2\\ / / 2\\| 2 // / / 2\\\ / / 2\\ \ | |
| | | | | | / 2 \ || | | / 2 \ || | | / 2 \ ||| | 4 / |3 + |1 - -----| | *|1 - -----|*cos|--------------------------|| | | / 2 \ || | | / 2 \ ||| // / / 2\\\ / / 2\\ \ || | | / 2 \ ||| | | / 2 \ || | | |
| | |/ / / 2\\\ | _____________________ | | 3 + |1 - -----| || _____________________ | | 3 + |1 - -----| || _____________________ | | 3 + |1 - -----| ||| | \/ \ \ 1 + x/ / \ 1 + x/ \ 2 /| _____________________ | | 3 + |1 - -----| || _____________________ | | 3 + |1 - -----| ||| || | | / 2 \ ||| | | / 2 \ || | || _____________________ | | 3 + |1 - -----| ||| / / / 2\\\ _____________________ | | 3 + |1 - -----| || | | |
| | || | | / 2 \ ||| | / 2 | | \ 1 + x/ || / 2 | | \ 1 + x/ || / 2 | | \ 1 + x/ ||| |-1 + -----------------------------------------------------------------------| / 2 | | \ 1 + x/ || / 2 | | \ 1 + x/ ||| / __________________\ || _____________________ | | 3 + |1 - -----| ||| / / / 2\\\ _____________________ | | 3 + |1 - -----| || | || / 2 | | \ 1 + x/ ||| | | | / 2 \ ||| / 2 | | \ 1 + x/ || | / __________________\| |
| | || _____________________ | | 3 + |1 - -----| ||| | / / 2\ |atan2|0, ----------------|| / / 2\ |atan2|0, ----------------|| / / 2\ 2 |atan2|0, ----------------||| | 2 | / / 2\ |atan2|0, ----------------|| / / 2\ |atan2|0, ----------------||| | / 2 | || / 2 | | \ 1 + x/ ||| | | | / 2 \ ||| / 2 | | \ 1 + x/ || | / __________________\ || / / 2\ |atan2|0, ----------------||| | _____________________ | | 3 + |1 - -----| ||| / / 2\ |atan2|0, ----------------|| | | / 2 || |
| | || / 2 | | \ 1 + x/ ||| | / | / 2 \ | / 2 \ | \ 4 /| / | / 2 \ | | \ 4 /| / | / 2 \ | / 2 \ | \ 4 /|| | / 2 \ | / | / 2 \ | 2| \ 4 /| / 2 \ / | / 2 \ | 2| \ 4 /|| | / / 2 \ | || / / 2\ |atan2|0, ----------------||| | _____________________ | | 3 + |1 - -----| ||| / / 2\ |atan2|0, ----------------|| | | / 2 | / 2 \ || / | / 2 \ | / 2 \ | \ 4 /|| | / 2 | | \ 1 + x/ ||| / | / 2 \ | 2| \ 4 /| / 2 \| | / / 2 \ || |
| | // / / 2\\\ / / 2\\ \ || / / 2\ |atan2|0, ----------------||| | 4 / |3 + |1 - -----| | *|1 - -----|*cos|--------------------------| 4 / |3 + |1 - -----| | *cos|--------------------------| 4 / |3 + |1 - -----| | *|1 - -----| *cos|--------------------------|| | 3 + |1 - -----| | / |3 + |1 - -----| | *sin |--------------------------|*|1 - -----| / |3 + |1 - -----| | *sin |--------------------------|| | / 3 + |1 - -----| | || / | / 2 \ | / 2 \ | \ 4 /|| | / 2 | | \ 1 + x/ ||| / | / 2 \ | 2| \ 4 /| / 2 \| | / / 2 \ | | 1 - ----- | || 4 / |3 + |1 - -----| | *|1 - -----|*cos|--------------------------|| | / / 2\ |atan2|0, ----------------||| / |3 + |1 - -----| | *sin |--------------------------|*|1 - -----|| | / 3 + |1 - -----| || // / / 2\\\ / / 2\\ \ |
| | || | | / 2 \ ||| | | / 2 \ || | || 2 / | / 2 \ | | \ 4 /|| | \/ \ \ 1 + x/ / \ 1 + x/ \ 2 / \/ \ \ 1 + x/ / \ 2 / \/ \ \ 1 + x/ / \ 1 + x/ \ 2 /| \ \ 1 + x/ / \/ \ \ 1 + x/ / \ 2 / \ 1 + x/ \/ \ \ 1 + x/ / \ 2 /| | 1 1 \/ \ 1 + x/ | || 4 / |3 + |1 - -----| | *|1 - -----|*cos|--------------------------|| | / / 2\ |atan2|0, ----------------||| / |3 + |1 - -----| | *sin |--------------------------|*|1 - -----|| | / 3 + |1 - -----| | | 1 + x | || \/ \ \ 1 + x/ / \ 1 + x/ \ 2 /| | 2 / | / 2 \ | | \ 4 /|| \/ \ \ 1 + x/ / \ 2 / \ 1 + x/| | 1 1 \/ \ 1 + x/ || || | | / 2 \ ||| | | / 2 \ || | |
| | || _____________________ | | 3 + |1 - -----| ||| / / / 2\\\ _____________________ | | 3 + |1 - -----| || | 2*||-1 + ----- + 4 / |3 + |1 - -----| | *cos|--------------------------||*|-1 + ----------------------------------------------------------------------- - ----------------------------------------------------------- + ------------------------------------------------------------------------| - ------------------------------------------------------------------------------- + ------------------------------------------------------------------------ - ------------------------------------------------------------|*sign|- - + ----- + -----------------------| || \/ \ \ 1 + x/ / \ 1 + x/ \ 2 /| | 2 / | / 2 \ | | \ 4 /|| \/ \ \ 1 + x/ / \ 2 / \ 1 + x/| 2| 1 1 \/ \ 1 + x/ | 2*|-1 + -----------------------|*||-1 + -----------------------------------------------------------------------|*|-1 + ----- + 4 / |3 + |1 - -----| | *cos|--------------------------|| + ------------------------------------------------------------------------|*sign|- - + ----- + -----------------------|| || _____________________ | | 3 + |1 - -----| ||| / / / 2\\\ _____________________ | | 3 + |1 - -----| || | |
| | || / 2 | | \ 1 + x/ ||| | | | / 2 \ ||| / 2 | | \ 1 + x/ || | / / __________________\\ |\ 1 + x \/ \ \ 1 + x/ / \ 2 // | 2 / 2\ 2 | 1 + x 2 / 2\ | \ 2 1 + x 2 / ||-1 + -----------------------------------------------------------------------|*|-1 + ----- + 4 / |3 + |1 - -----| | *cos|--------------------------|| + ------------------------------------------------------------------------| *sign |- - + ----- + -----------------------| | __________________| || 2 | \ 1 + x \/ \ \ 1 + x/ / \ 2 // 2 | \ 2 1 + x 2 /| || / 2 | | \ 1 + x/ ||| | | | / 2 \ ||| / 2 | | \ 1 + x/ || | / __________________\ // / / 2\\\ / / 2\\ \ |
| | || / / 2\ |atan2|0, ----------------||| | _____________________ | | 3 + |1 - -----| ||| / / 2\ |atan2|0, ----------------|| | | | / 2 || | | / 2 \ | / 2 \ | / 2\ | / 2 \ | / 2 \ | | || 2 | \ 1 + x \/ \ \ 1 + x/ / \ 2 // 2 | \ 2 1 + x 2 / | / 2 | || / 2 \ | / 2 \ | | || / / 2\ |atan2|0, ----------------||| | _____________________ | | 3 + |1 - -----| ||| / / 2\ |atan2|0, ----------------|| | | / 2 | || | | / 2 \ ||| | | / 2 \ || | |
| | || / | / 2 \ | / 2 \ | \ 4 /|| | / 2 | | \ 1 + x/ ||| / | / 2 \ | 2| \ 4 /| / 2 \| | | / / 2 \ || | | 3 + |1 - -----| (1 + x)*|3 + |1 - -----| | | / 2 \ | | 3 + |1 - -----| (1 + x)*|3 + |1 - -----| | | || / 2 \ | / 2 \ | | / / 2 \ | || 3 + |1 - -----| | 3 + |1 - -----| | | || / | / 2 \ | / 2 \ | \ 4 /|| | / 2 | | \ 1 + x/ ||| / | / 2 \ | 2| \ 4 /| / 2 \| | / / 2 \ | || ______________________ | | 3 + |-1 + -----| ||| / / / 2\\\ _____________________ | | 3 + |1 - -----| || | |
| | || 4 / |3 + |1 - -----| | *|1 - -----|*cos|--------------------------|| | / / 2\ |atan2|0, ----------------||| / |3 + |1 - -----| | *sin |--------------------------|*|1 - -----|| | | / 3 + |1 - -----| || | | \ 1 + x/ \ \ 1 + x/ / (1 + x)*|3 + |1 - -----| | | \ 1 + x/ \ \ 1 + x/ / | || 3 + |1 - -----| | 3 + |1 - -----| | | / 3 + |1 - -----| | \\ \ 1 + x/ / \ 1 + x/ / | || 4 / |3 + |1 - -----| | *|1 - -----|*cos|--------------------------|| | / / 2\ |atan2|0, ----------------||| / |3 + |1 - -----| | *sin |--------------------------|*|1 - -----|| | / 3 + |1 - -----| | || / 2 | | \ 1 + x/ ||| | | | / 2 \ ||| / 2 | | \ 1 + x/ || | / __________________\|
| | || \/ \ \ 1 + x/ / \ 1 + x/ \ 2 /| | 2 / | / 2 \ | | \ 4 /|| \/ \ \ 1 + x/ / \ 2 / \ 1 + x/| d | | 1 1 \/ \ 1 + x/ || \ \ \ \ 1 + x/ / / / \\ \ 1 + x/ / \ 1 + x/ / \ \/ \ 1 + x/ / | || \/ \ \ 1 + x/ / \ 1 + x/ \ 2 /| | 2 / | / 2 \ | | \ 4 /|| \/ \ \ 1 + x/ / \ 2 / \ 1 + x/| | 1 1 \/ \ 1 + x/ | || / / 2\ |atan2|0, -----------------||| | _____________________ | | 3 + |1 - -----| ||| / / 2\ |atan2|0, ----------------|| | | / 2 ||
| x*|- ||-1 + -----------------------------------------------------------------------|*|-1 + ----- + 4 / |3 + |1 - -----| | *cos|--------------------------|| + ------------------------------------------------------------------------|*--|sign|- - + ----- + -----------------------|| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - 2*||-1 + -----------------------------------------------------------------------|*|-1 + ----- + 4 / |3 + |1 - -----| | *cos|--------------------------|| + ------------------------------------------------------------------------|*sign|- - + ----- + -----------------------| || / | / 2 \ | / 2 \ | \ 4 /|| | / 2 | | \ 1 + x/ ||| / | / 2 \ | 2| \ 4 /| / 2 \| | / / 2 \ ||
| | || 2 | \ 1 + x \/ \ \ 1 + x/ / \ 2 // 2 | dx\ \ 2 1 + x 2 // 1 + x | __________________| / __________________ \ | || 2 | \ 1 + x \/ \ \ 1 + x/ / \ 2 // 2 | \ 2 1 + x 2 / || 4 / |3 + |-1 + -----| | *|-1 + -----|*cos|---------------------------|| | / / 2\ |atan2|0, ----------------||| / |3 + |1 - -----| | *sin |--------------------------|*|1 - -----|| | / 3 + |1 - -----| ||
| | || / 2 \ | / 2 \ | | / 2 | | / 2 | | || / 2 \ | / 2 \ | || \/ \ \ 1 + x/ / \ 1 + x/ \ 2 /| | 2 / | / 2 \ | | \ 4 /|| \/ \ \ 1 + x/ / \ 2 / \ 1 + x/| | 1 1 \/ \ 1 + x/ ||
| /| ___________________|\ /| __________________|\ | || 3 + |1 - -----| | 3 + |1 - -----| | / __________________ \ | / / 2 \ | 2 | / / 2 \ 2 | | || 3 + |1 - -----| | 3 + |1 - -----| | 2*x*||1 + --------------------------------------------------------------------------|*|-1 + ----- + 4 / |3 + |1 - -----| | *cos|--------------------------|| - ------------------------------------------------------------------------|*sign|- - + ----- + -----------------------||
| || / 2 || || / 2 || | \\ \ 1 + x/ / \ 1 + x/ / | / 2 | | / 3 + |1 - -----| | (1 + x) *|-1 + / 3 + |1 - -----| + -----| | \\ \ 1 + x/ / \ 1 + x/ / || 2 | \ 1 + x \/ \ \ 1 + x/ / \ 2 // 2 | \ 2 1 + x 2 /|
| || / / 2 \ || || / / 2 \ || | 2 | / / 2 \ 2 | | 1 1 \/ \ 1 + x/ | \ \/ \ 1 + x/ 1 + x/ | || / 2 \ | / 2 \ | |
| || / 3 + |-1 + -----| || || / 3 + |1 - -----| || | (1 + x) *|-1 + / 3 + |1 - -----| + -----|*|- - + ----- + -----------------------| | || 3 + |-1 + -----| | 3 + |1 - -----| | |
| || 1 1 \/ \ 1 + x/ || || 1 1 \/ \ 1 + x/ || \ \ \/ \ 1 + x/ 1 + x/ | 2 1 + x 2 | / \\ \ 1 + x/ / \ 1 + x/ / | -x
|2*log||- - + ----- + ------------------------|| - x*log||- - + ----- + -----------------------|| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e
| \| 2 1 + x 2 |/ \| 2 1 + x 2 |/ | __________________| | ___________________| |
| | / 2 | | / 2 | |
| / __________________ \ | / / 2 \ | / __________________ \ | / / 2 \ | |
| | / 2 | | / 3 + |1 - -----| | | / 2 | | / 3 + |-1 + -----| | |
| 2 | / / 2 \ 2 | | 1 1 \/ \ 1 + x/ | 2 | / / 2 \ 2 | | 1 1 \/ \ 1 + x/ | |
| (1 + x) *|-1 + / 3 + |1 - -----| + -----|*|- - + ----- + -----------------------| (1 + x) *|-1 + / 3 + |1 - -----| + -----|*|- - + ----- + ------------------------| |
\ \ \/ \ 1 + x/ 1 + x/ | 2 1 + x 2 | \ \/ \ 1 + x/ 1 + x/ | 2 1 + x 2 | /