o *ήc¾ïã@s~ddlZddlmZedƒZesdZejdd…dkrdZddlmZddlm Z m Z m Z m Z m Z mZmZmZmZdd lmZdd lmZdd lmZdd lmZdd lmZddlmZddl m!Z!m"Z"m#Z#m$Z$ddl%m&Z&m'Z(ddl)m*Z*ddl+m,Z,ddl-m.Z.ddl/m0Z0ddl1m2Z2ddl3m4Z4m5Z5m6Z6e,dddd\Z7Z8Z9Z:Z;ZZ?Z@ZAZBZCZDZEe4dd„ƒZFdd„ZGdd„ZHdS) éN)Ú import_moduleÚmatchpyTé)éé)Úrubi_integrate) ÚlogÚsqrtÚexpÚcosÚsinÚtanÚsecÚcscÚcot)Úatanh)Úasinh)Úacosh)Úatan)Úasin)Úacos)Ú EllipticEÚ EllipticFÚ hypergeomÚ rubi_test)ÚIÚpi)ÚS)Úsymbols)Ú exp_polar)Úhyper)Úsimplify)ÚslowÚskipÚ ON_TRAVISzA B C D a b c d e f m n p x uF)ÚrealÚ imaginaryc Csäïtrtdƒgttdƒtttttttttdƒttdƒtdƒtdƒttdƒttdƒttdƒtdƒtdƒttdƒtttdƒttdƒtdƒtdƒtttdƒttdƒttdƒtdƒtdƒttdƒttdƒttdƒg‘ttttttttttdƒttdƒtdƒtdƒttdƒttdƒttdƒtdƒtdƒttdƒtttdƒttdƒtdƒtdƒtttdƒttdƒttdƒtdƒtdƒttdƒttdƒttdƒg‘ttdƒttttttttdƒtdƒtdƒttttdƒtdƒtdƒttttttdƒtdƒtdƒttttdƒg‘ttdƒttttttttdƒttdƒ tttttttdƒtdƒtdƒttdƒttttttdƒttdƒtdƒtdƒtttttttdƒttdƒtdƒtdƒttttttdƒttdƒtdƒtdƒtttdƒtttdƒttttt tttƒttdƒg‘ttdƒtt ttttttdƒt tttt tttdƒtdƒtdƒtttt ttdƒttdƒtdƒtdƒt ttdƒtttdƒtttt t tttƒttdƒg‘ttdƒtt ttdƒttttdƒttdƒtdƒ ttttdƒtt tttt tttdƒtdƒtdƒtttdƒtt tttt ttdƒttdƒtdƒtdƒt tttt ttdƒttdƒtdƒtdƒt tdƒttdƒttdƒttdƒtttt tdƒttdƒtttttdƒtdƒtttdƒtt tttt t tttƒttdƒg‘ttdƒtt ttdƒttttdƒttdƒtdƒt tttdƒtt tttt tttdƒtdƒtdƒt tdƒtttt ttdƒttdƒtdƒtdƒt tdƒttdƒttdƒtdƒtdƒttdƒtttt tdƒttdƒttttdƒttdƒtttdƒtt tttt tdƒttdƒttttttt ttdƒttdƒtd ƒtttt td ƒttdƒt tdƒt tttƒttdƒg‘ttdƒtdƒttttttttdƒtdƒ tdƒtttttttdƒtdƒttdƒtdƒtdƒttttttdƒtdƒttdƒtdƒtdƒtttdƒtdƒttdƒttdƒtdƒttttt t tƒt tƒt tƒƒttd ƒtdƒtdƒttdƒttttt tƒttdƒg‘tt ttttdƒtttttdƒttdƒtttdƒt tdƒt ttdƒtdƒttttttdƒt tdƒt tdƒttttttttdƒt tdƒt ttdƒtttdƒttttdƒt tdƒt ttdƒtttdƒt tdƒt g‘tt tt ttdƒtttttdƒt tdƒttdƒttdƒtdƒtttt ttdƒt tdƒttdƒt ttdƒtdƒt t tdƒtdƒtttt ttdƒt ttdƒtdƒt t tdƒttdƒt ttdƒt tttt tdƒttdƒt ttdƒtdƒgtdƒt gttttƒttdƒt tttttdƒt ttdƒt ttdƒt tt tttt ttdƒt ttdƒtdƒt t tttt tdƒttdƒt ttdƒtdƒt tdƒtt tdƒttdƒt ttdƒt t tdƒtttt ttdƒt ttdƒtdƒt t tdƒttdƒt ttdƒt tttt tdƒttdƒt ttdƒtdƒt gtdƒt gt ttƒtttdƒtdƒt g‘tt tt ttdƒtttttdƒtt ttdƒt ttdƒt t tttt ttdƒt ttdƒtdƒt t tdƒttdƒt ttdƒt tttt tdƒttdƒt ttdƒtdƒt gtdƒt gt ttƒtttdƒtdƒt g‘ttdƒtt ttttdƒtdƒttdƒttdƒt ttdƒtdƒtdƒtdƒt gtdƒtdƒtdƒt gt ttdƒtƒtdƒt g‘tt tdƒtt tƒt t ƒtdƒtdƒtt tƒt t ƒtdƒttdƒttdƒt ttdƒtdƒtdƒtdƒt gtdƒtdƒtdƒt gt ttdƒtƒtdƒt g‘ttdƒtttt tttƒttdƒtdƒ tdƒttdƒttttttttdƒtdƒttdƒtdƒtdƒttdƒtdƒtttdƒttttttdƒtdƒttdƒtdƒtdƒttttdƒttttttdƒtdƒttdƒtdƒtd ƒtttdƒttttttd ƒtdƒttdƒtdƒtd ƒtttttd ƒtdƒttdƒg‘ttdƒtttt tttƒttdƒtdƒtdƒttdƒtdƒtttdƒttttttdƒtdƒttdƒtdƒtdƒttttdƒttttttdƒtdƒttdƒtdƒtdƒtttdƒttttttdƒtdƒttdƒtdƒtd ƒtttttd ƒtdƒttdƒtdƒttdƒttttt tttƒttdƒg‘ttdƒtdƒtttt tttƒttdƒtdƒtdƒtttdƒtdƒttttdƒtdƒttdƒtd ƒttdƒtd ƒtttdƒtttt tƒt tƒt tttƒƒttd ƒtdƒtdƒtdƒttdƒtd ƒtttdƒttttdƒtdƒt tttƒttdƒtdƒtdƒttd ƒtttdƒttttdƒtdƒt tttƒttdƒtdƒtdƒtd ƒtttdƒttttdƒtdƒt tttƒttdƒtd ƒttdƒtd ƒtttdƒttt tƒt tttƒttdƒg‘ttdƒtdƒtttt tttƒttdƒtdƒtdƒtttdƒtdƒttttdƒtdƒttdƒtdƒttdƒtd ƒtttdƒtttt tƒt tƒt tttƒƒttdƒtdƒtdƒtdƒttd ƒtttdƒttttdƒtdƒt tttƒttdƒtdƒtdƒtd ƒtttdƒttttdƒtdƒt tttƒttdƒtdƒttdƒtd ƒtttdƒttt tƒt tttƒttdƒg‘ttdƒtdƒtttt tttƒttdƒtdƒtd ƒttdƒtd ƒtttd ƒtttt tƒt tƒt tttƒƒttd ƒtdƒtdƒtdƒttdƒtd ƒtttd ƒttttdƒtdƒt tttƒttdƒtdƒtdƒttd ƒtttd ƒttttdƒtdƒt tttƒttdƒtdƒtdƒtd ƒtttd ƒttttdƒtdƒt tttƒttdƒtdƒtdƒtttd ƒtdƒt tttƒttdƒtd ƒttdƒtd ƒtttd ƒttt tƒt tttƒttdƒg‘ttdƒtdƒtttt tttƒttdƒtdƒ tdƒttdƒtd ƒtttdƒtttt tƒt tƒt tttƒƒttd ƒtdƒtdƒtdƒttd ƒtttdƒttttdƒtdƒt tttƒttdƒtdƒtdƒtd ƒtttdƒttttdƒtdƒt tttƒttdƒtdƒtdƒtttdƒtdƒt tttƒttdƒtdƒttdƒtd ƒtttdƒttt tƒt tttƒttdƒg‘ttdƒt tttƒt tt tƒttdƒtdƒtdƒttdƒttttdƒtdƒtt ttdƒtdƒtt tdƒtdƒttttdƒtdƒtt ttdƒtdƒtdƒttdƒttdƒtdƒtttt tdƒttdƒt tdƒtdƒtt tttt tttdƒt tdƒtdƒtd ƒtttt tdƒtttt tdƒttdƒttdƒtdƒtttt tdƒttdƒt tdƒtt t ƒt tttƒt tƒt tt tƒƒttd ƒtdƒt td ƒtdƒtdƒtdƒtttt tdƒttdƒttdƒtdƒtttt tdƒttdƒt tdƒttttdƒtdƒt tt tƒttdƒt tdƒtdƒtd ƒtdƒttdƒttdƒtdƒtttdƒttdƒt tdƒttdƒttt tdƒtdƒttdƒt tdƒt tttƒt tt tƒttdƒt tdƒg‘ttdƒt tttƒt tt tƒttdƒtdƒ tdƒtttt ttttdƒtdƒtt ttdƒtdƒttdƒt tdƒtdƒtdƒtttttdƒtdƒtt ttdƒtdƒtt tdƒtdƒtttt tdƒtdƒtttt tdƒtttt tdƒtt t ƒt tttƒt tƒt tt tƒƒttdƒtdƒt tdƒtdƒtdƒtdƒtdƒtttt tdƒtttt tdƒttttdƒtdƒt tt tƒttdƒt tdƒtdƒtdƒtttt tdƒtttt tdƒtttt tdƒt tttƒt tt tƒttdƒt 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