Trigonometric Integration and Reduction Formulas, Cheat Sheet of Mathematics

Download Trigonometric Integration and Reduction Formulas and more Cheat Sheet Mathematics in PDF only on Docsity! An ELUTE Eile RAEN Integration of COMMONIG Used functions ntl ‘) (x” a - n+\ » ne dx = ig\nl* & eS) {Sing ane -cosn +d ) Seosm dn = Sinn *c y) Ssecm dws dann+c 8) feosec™ dy = COrR AS ct ) (secn tann dno SeC% psecn corn dn = ~ 60S ecnetc dys Sin'nt c OP) -\ -cos ATC = fon nee Or) -cox Re ged nee ©r) Integration of fn flant © Jflanth) das FLARED) Y & a Integration using subs hie WOW | MOY gy 2109 elec £uoy 1) fama dns lode seem e 2) Scot Ant \O%e \sinnl *o > |secndn = logel seems tanec - cot &) Jeogecn ae = wg pl usec CO ~\ ao Some gtoandard 4rigonomertri¢ subs FAUtions 9 ota Re atan® or ocore 2) ot ne asinsor a2coss B) gt at me aselce or a cosecs [os or (O40 arn {asa Ne acest 5) (== oY Von-) (%-8) ne f C08 Ot Bsin® 6 Integration of £( 90») 9'L> J 4Cata) abo am guy) = re Cat») Anes at C scanned with OKEN Scanner f4li) at. Tntegrotion of {n which is | reciprocal Of Quadratic fe = | » Joe = ton te OM AE A | Nm tog, |2-* LC ER eee 2a KO Tntegration of fn which tS reciprocal of square root OF Quadratic /\) — Sin xc ESS a = 10g\artoraae |e Dloa|n el ator |+e divison: Partial fractions ; mw On mvolW lng Eve powers ot Ex: \ wed Cote) (ns = mrok An anen Integration 5Y parts Jovan = Ufvan- Jeu'fuan) an eee We Tare L ay L L 5 Inverse ug algebra | ey poential TrigonomerY Types: Seperate ins are visible ex. “ a nn nN Sx 40 N u Type 2° consiaering “a os @ 40. . . an ex. { ns & v N ANY eecurring BY Paris \ : Le» exprentt® x Trad + Ex: fe%cosn a® TeJe®cosn a Je* cos Vv u Ts cosy ete (sins e* dn Bs x SOP ES v Nv mn Loz cosm ea (sina e™ (eosne an _ n ~ TLs coone x sime +C Be com ety Sinn ely c ne Ture 4! Special cases \) (em 4+ gw) dn = e“scnyec > Stet + THE Ams nfo 4c C scanned with OKEN Scanner Type - ‘) PCOSKH BSinn+e F r Reade Ta OO CSK4 b SIRE C PcoSn+t qsinne U = rLacosne bsinn + o) LT acosat SIN** 5 cot N=rA(D) + ie) av i ama y (ant aig bv dn B) TE mun are rari és vy with cos?y Se. Oo) gus sitUre sinnet, © Fecmos oe fe ) substitute cosnct, Vt m ig odd- c)subsritute tcnns ty if man \S a We ever integ eV: \ona\ nos yee ) ig awe cotne © integer, xnen “Fe oy kann nian ») J Cranne secn) sec % dn ao La sete 2 ae cm x Aan z- $e (secn* oetn ann) On aAr= dz = seen a” dz asic = 2secr sant, z Vs SeCK™ a Zz aype7 5 ee ) ginn 2 COS® = & \ sin y x cosn SINNCOSHEA senna Cosn se) Stn Of ot ‘ ‘ le SinDn= © { yo Sinn => t Reduction fonmula wl y) J sin?» dus -cosn Sin 0h cosmo vy + Pak ( sin” > dy a DS cos™ m dn | = Sinn COS® 70 feos dy YW nt ae WN 72s - in-2/ C scanned with OKEN Scanner > a 1 y-\ n-\ | Dias =cot M teen | NA 2 Ine ae Sn-% =k S) gor fsec™n dn n-% Beeson see NW n-2 tha * ARN n-\ 6) For Jeosec™ a” | MSL Anz torn cose 4a Ty-v ee C scanned with OKEN Scanner