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  1. F.Sc.(Part-2) Integration Integration Integration Integration CH # 3 1.?1 ??=? IMPORTANT—FORMULAS By:Ali Nawaz Bajwa(M.Phil. (Math), M.Ed.)***Mob # :+92(345)6743869 Ravians Science Academy Model Town Daska. District Sialkot 2.?? ??=?? 3.??? ?? =???? ? ? ??= ??|?| 4.? ??? 5.???????? ?′??? ??=????????? 6.??????????′??? ??=ln???? ??? ?? ??? 7.??? ??=?? 8.??? ??= 10.? !?&? ??=− '()*? 9.? !?? ??=−cos? * 12.??+ &? ??=−)-?*? 11.??+ ? ??=sin? * 13.? ??.? ??=/??? 14.??+ ??.? ??=− ?+/? 15.? ???/??? ??= ??? 16.??+ ?? ? ?+/ ? ??= − ?+ ?? ? 17.?/??? ??= ??| ???| 19.? ??? ??= ?? | ???+/???|20.??+ ??? ?? = ?? |?+ ??? − ?+/?| 18.??+/? ??=??| !??| ?1??1 ??=? ? .?ln|??? ?1??1 ??=? ? .?ln|??? ???| 22.? ???| 21.? ? ? √?1??1?? = ln| ? + √?.+ ?.|24.? √?1??1??= ln| ? + √?.− ?.| 23.? √?1??1??= !????? ? ??67− ?+ ???? ?? 34. ? ?1??1??=? ? ? /?????? ??67−? ? ?+/???? ?? 26.? ?√?1??1??= ?????? ? ?? 67 − ? ????? ?? 27.? +?1 38.?√?.− ?.??=?√?1??1 . !????? +?1 ?? . 29.?√?.+ ?.??=?√?1??1 .??|?√?1??1 | . ? −?1 30.?√?.− ?.??=?√?1??1 .??|?√?1??1 | . ?

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