/ 2 / / 2\\\ | / 2\ | 2*x 2*x*log\1 + x /|| | x*\1 + x / *|- --------- + ---------------|| | | 2 2 || 2 | | / 2\ / 2\ || 1 + x | 1 \ \1 + x / \1 + x / /| / 2 / / 2\\\ x*-----------*|------------- + -------------------------------------------| | / 2\ | 2*x 2*x*log\1 + x /|| / 2\ |/ / 2\\ 2/ 2\ | | x*\1 + x / *|- --------- + ---------------|| log\1 + x / ||log\1 + x /| log \1 + x / | | | 2 2 || ||-----------| | | | / 2\ / 2\ || || 2 | | | 1 \ \1 + x / \1 + x / /| / x \ \\ 1 + x / / |------------- + -------------------------------------------|*acot|-------------| - --------------------------------------------------------------------------- |/ / 2\\ 2/ 2\ | |/ / 2\\| 2 ||log\1 + x /| log \1 + x / | ||log\1 + x /|| 2 / 2\ ||-----------| | ||-----------|| x *\1 + x / || 2 | | || 2 || 1 + ------------ \\ 1 + x / / \\ 1 + x // 2/ 2\ log \1 + x /
/ / / 2 / / 2\\\ / 2 \\\ | | / 2\ | 2 2*x *\-1 + log\1 + x //| | 2 2*x ||| | | \1 + x /*|1 + x + -----------------------|*|1 + 3*x - -----------||| | | 2 2 / / 2\\ 2 / 2\ 2 / / 2\\ | / 2\ | | / 2\||| | 2 / 2\ | / 2\ 6*x 4*x *\-1 + log\1 + x // 4*x *log\1 + x / 4*x *\-1 + log\1 + x // \ log\1 + x / / \ log\1 + x //|| | x *\1 + x /*|3 - 3*log\1 + x / - ------ - ----------------------- + ---------------- + ----------------------- + --------------------------------------------------------------------|| | 2 | 2 2 2 / 2\ / 2\ / 2\ || | / 2 / / 2\\\ | 1 + x 1 + x 1 + x \1 + x /*log\1 + x / | 2 / 2\ | || | | 2 2*x *\-1 + log\1 + x //| / 2 / 1 \ / / 2\\\ | | x *\1 + x / | / 2\ || | |1 + x + -----------------------| | 2*x *|1 - -----------|*\-1 + log\1 + x //| | |1 + ------------|*log\1 + x / || | | / 2\ | | 2 2 / 2\ 2 / / 2\\ 2 / / 2\\ | / 2\| | / / 2\\ | | 2/ 2\| || | \ log\1 + x / / | / 2\ 6*x 4*x *log\1 + x / 2*x *\-1 + log\1 + x // 2*x *\-1 + log\1 + x // \ log\1 + x // | | x*\1 + x /| \ \ log \1 + x // /| 2*|- ----------------------------------- + x*|-3 + 3*log\1 + x / + ------ - ---------------- + ----------------------- - ----------------------- + -----------------------------------------|*acot|-----------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| | 2 | 2 2 2 / 2\ / 2\ 2 | | / 2\| / 2\ | | 2 / 2\ \ 1 + x 1 + x 1 + x \1 + x /*log\1 + x / 1 + x / \log\1 + x // | 2 / 2\ | | | x *\1 + x / | x *\1 + x / | / 2\ | | 1 + ------------ |1 + ------------|*log\1 + x / | | 2/ 2\ | 2/ 2\| | \ log \1 + x / \ log \1 + x // / --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2/ 2\ log \1 + x /
/ / 2 \ \ | | / 2 2 / 2\\ / 2 2 / 2\\ / 2 / / 2\\\ / 2 4 4 2 / 2\\ / 2 2 / 2\\ / 2 \ / 2 2 / 2\ 2 / / 2\\ 2 / / 2\\\ 2 / 2 \ / 2 / / 2\\\| | | | 2 | / 2\ 6*x 4*x *log\1 + x /| 2 | / 2\ 22*x 12*x *log\1 + x /| | 2 2*x *\-1 + log\1 + x //| |/ 2\ 4 12*x 2 / 2\ 12*x 10*x *\1 + x /| 2 / 1 \ / / 2\\ 2 | / 2\ 6*x 4*x *log\1 + x /| 2 / 2\ | 2 2*x | | / 2\ 6*x 4*x *log\1 + x / 4*x *\-1 + log\1 + x // 4*x *\-1 + log\1 + x //| 2 / 2\ | 2 2*x | | 2 2*x *\-1 + log\1 + x //|| / / 2 / / 2\\\ / 2 \\| | | 8*x *|1 - log\1 + x / - ------ + ----------------| 2*x *|9 - 6*log\1 + x / - ------ + -----------------| |1 + x + -----------------------|*|\1 + x / + 4*x - ----------- + 10*x *\1 + x / + ------------ - --------------| 2*x *|1 - -----------|*\-1 + log\1 + x // 8*x *|1 - log\1 + x / - ------ + ----------------| 4*x *\1 + x /*|1 + 3*x - -----------|*|-3 + 3*log\1 + x / + ------ - ---------------- + ----------------------- - -----------------------| 4*x *\1 + x / *|1 + 3*x - -----------| *|1 + x + -----------------------|| | / 2\ | 2 2*x *\-1 + log\1 + x //| | 2 2*x ||| | | 2 2 / 2\ | 2 2 | | 2 2 | 4 / / 2\\ 2 / / 2\\ | / 2\ | | / 2\ 2/ 2\ / 2\ | 4 / / 2\\ 2 / / 2\\ | / 2\| | 2 2 | 4 / / 2\\ | / 2\| | 2 2 2 / 2\ / 2\ | | / 2\| | / 2\ || | \1 + x /*|1 + x + -----------------------|*|1 + 3*x - -----------||| | / 2\ | / 2\ 18*x 12*x *log\1 + x / \ 1 + x 1 + x / \ 1 + x 1 + x / 8*x *\-1 + log\1 + x // 14*x *\-1 + log\1 + x // \ log\1 + x / / \ log\1 + x / log \1 + x / log\1 + x / / 24*x *\-1 + log\1 + x // 14*x *\-1 + log\1 + x // \ log\1 + x // \ 1 + x 1 + x / 24*x *\-1 + log\1 + x // \ log\1 + x // \ 1 + x 1 + x 1 + x \1 + x /*log\1 + x / / \ log\1 + x // \ log\1 + x / /| / 2 / / 2\\\ | 2 2 / / 2\\ 2 / 2\ 2 / / 2\\ | / 2\ | | / 2\||| |/ / / 2 2 / 2\\ \ \ x*\1 + x /*|-3 + 3*log\1 + x / + ------ - ----------------- - -------------------------------------------------- + ----------------------------------------------------- + ----------------------- + ------------------------ - -------------------------------------------------------------------------------------------------------------------- - ------------------------ - ------------------------ + ----------------------------------------- + -------------------------------------------------- + ------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------| | 2 2*x *\-1 + log\1 + x //| | / 2\ 6*x 4*x *\-1 + log\1 + x // 4*x *log\1 + x / 4*x *\-1 + log\1 + x // \ log\1 + x / / \ log\1 + x //|| || | | / 2\ 6*x 4*x *log\1 + x /| 2 / 1 \ / / 2\\ 2 / 1 \ / / 2\\| | | 2 2 2 2 2 2 / 2\ 2 / 2\ / 2\ 2 / 2\ / 2\ 2 / 2\ 2 | / 2 / 1 \ / / 2\\\ 3*x*|1 + x + -----------------------|*|3 - 3*log\1 + x / - ------ - ----------------------- + ---------------- + ----------------------- + --------------------------------------------------------------------|| || | 3*|1 - log\1 + x / - ------ + ----------------| 2*x *|1 - -----------|*\-1 + log\1 + x // 2*x *|1 - -----------|*\-1 + log\1 + x //| | | 1 + x 1 + x 1 + x 1 + x / 2\ 1 + x | 2 / 2\ | / 2\ / 2\ \1 + x /*log\1 + x / 1 + x \1 + x /*log\1 + x / / 2\ 2/ 2\ | 2 / 2\ | / 2\ | | 2*x *|1 - -----------|*\-1 + log\1 + x //| | / 2\ | | 2 2 2 / 2\ / 2\ / 2\ || || | / 2\ / 2 2 / 2\\ / 2 2 \ | 2 2 | 2 2 / / 2\\ 2 / / 2\\ | / 2\| 2 / / 2\\ | / 2\| | | | \1 + x / | x *\1 + x / | / 2\ \1 + x / *log\1 + x / \1 + x / *log \1 + x / | x *\1 + x / | 2/ 2\ | 2 / 2\ | | / 2 / / 2\\\ | 2 2 / 2\ 2 / / 2\\ 2 / / 2\\ | / 2\| | \ log\1 + x / / | 1 + x 1 + x 1 + x \1 + x /*log\1 + x / | 2 / 2\ | || || 2 | / 2\ -1 + log\1 + x / / 1 \ | / 2\ 6*x 4*x *log\1 + x /| / / 2\\ | 1 4*x 2*x | \ 1 + x 1 + x / 4*x 2*x *\-1 + log\1 + x // 6*x *\-1 + log\1 + x // \ log\1 + x // 6*x *\-1 + log\1 + x // \ log\1 + x // | 2 / 1 \ / / 2\\| | |1 + ------------|*log\1 + x / |1 + ------------|*log \1 + x / | x *\1 + x / | 3/ 2\ | | 2 2*x *\-1 + log\1 + x //| | / 2\ 6*x 4*x *log\1 + x / 2*x *\-1 + log\1 + x // 2*x *\-1 + log\1 + x // \ log\1 + x // | | | x *\1 + x / | / 2\ || || 2*x *|-5 + 2*log\1 + x / + ---------------- + |1 - -----------|*|1 - log\1 + x / - ------ + ----------------| + \-1 + log\1 + x //*|-1 + ----------- - --------------------- + --------------------| - ----------------------------------------------- + ------ - ----------------------- - ----------------------- - ----------------------------------------- + ----------------------- + -----------------------------------------| 6*x *|1 - -----------|*\-1 + log\1 + x //| | | 2/ 2\| | 2/ 2\| |1 + ------------| *log \1 + x / | 3*x*|1 + x + -----------------------|*|-3 + 3*log\1 + x / + ------ - ---------------- + ----------------------- - ----------------------- + -----------------------------------------| | |1 + ------------|*log\1 + x / || || 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\\ | \ log \1 + x // \ log \1 + x // | 2/ 2\| | | / 2\ | | 2 2 2 / 2\ / 2\ 2 | | | 2/ 2\| || || / 2\ 18*x 12*x *log\1 + x / \ log\1 + x / \ log\1 + x // \ 1 + x 1 + x / \ log\1 + x / \1 + x /*log \1 + x / \1 + x /*log\1 + x // log\1 + x / 1 + x 1 + x \1 + x /*log \1 + x / 1 + x \1 + x /*log\1 + x / \1 + x /*log\1 + x / / 6*x *\-1 + log\1 + x // 6*x *\-1 + log\1 + x // \ log\1 + x // | | x*\1 + x /| \ \ log \1 + x // / \ log\1 + x / / \ 1 + x 1 + x 1 + x \1 + x /*log\1 + x / 1 + x / \ \ log \1 + x // /| 2*||-3 + 3*log\1 + x / + ------ - ----------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------- - ----------------------- + -----------------------------------------|*acot|-----------| - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| || 2 2 2 2 / 2\ / 2\ 2 | | / 2\| / 2\ / 2\ / 2\ | |\ 1 + x 1 + x 1 + x 1 + x \1 + x /*log\1 + x / 1 + x / \log\1 + x // | 2 / 2\ | | 2 / 2\ | | 2 / 2\ | | | | x *\1 + x / | / 2\ | x *\1 + x / | / 2\ | x *\1 + x / | / 2\ | | |1 + ------------|*log\1 + x / |1 + ------------|*log\1 + x / |1 + ------------|*log\1 + x / | | | 2/ 2\| | 2/ 2\| | 2/ 2\| | \ \ log \1 + x // \ log \1 + x // \ log \1 + x // / ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2/ 2\ log \1 + x /