Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

All you need to know about Integration (Explanation and Solved Problems) "Hand Written", Study notes of Mathematics

Explanation and Step-By-Step Solved Examples: - What are integrals and their types? - Table of integrals - Rules of exponential functions and their examples - Rules of trigonometric integrals and their examples - Rules of inverse trigonometric integrals and their examples - Integration by substitution and 16 solved examples - Integration by parts and 12 solved examples - Trigonometric Integrals and 12 solved examples

Typology: Study notes

2020/2021

Available from 02/09/2023

bobcode311
bobcode311 🇪🇬

12 documents

1 / 29

Toggle sidebar

Partial preview of the text

Download All you need to know about Integration (Explanation and Solved Problems) "Hand Written" and more Study notes Mathematics in PDF only on Docsity! 5 Trbejrabs Fox) _ 4. Buy = AiPPrendiod jon \__zatyation _\ <— Dolegntion Se i Lada fe Trleqeds: (nz pe WE) Tabeqal Bx) A, Unridde f Tnbeqchion = FX) + < , Coston San “Lite Tkearall, ¢ S “2 interych Ly Todefrite Intech * A tutte: TA exalln (s.2 we ead vila inX vege eh eb ne seet [fade dx -[Fonl] Flb)-Fa) — (c eso S) \ewer bail ea. Rrwbeyad x dite intorral * ——_— —- ads wit, _xTable. yy Tnkegeba wHtk no uakians - Sg a ep xt dae x ce ee oe tshy Pak "C" 2 anata th bight ete see OPw= x5 ~A, + aT Te +2 - dx a @ Rare Xt wane QK+O 0 | Vicseaciagle gs tte tt, tlt KO ___ Pa)- eee = yh Le pte SLOP Bde ial lle tee ae Becket woteeg ss deta ei 2S ARTLINE on ee gdh; ee a >: a] iL [st ene Scanned with CamScanner rs LVTTAAAATAANS xTaddle 2 Tubesels Cont) @ [taveby AK al (an +b) n+l c., [ae] eo ‘fix ax ae sy = + Foca} are loa] 5 Ceca] J. 1 Redes 2 Exponaticl Rachions = AO SF dk slau se wife AK = OXee ass Ax calnairc ase AK ob eee ase dK. =4-\ntx) + \i fb eMdx - ie em a fama oe oe (ey Lata) : ee | i IOAUERURUUEAE : PP a fede es =» llnw] 2 law- Livte.s) —=_O-(-0:6931) no. 5.693. i | i a [ea a ° Be 4 “Low Las | ae Se ee =< |_| | | | ee \, 912. ¥e | | i | | | lal AA Scanned with CamScanner x Salved Examples. w Cl Fsinte Ak =>. [- as), « _ (Gsu)- Gs to] -Lo.sy-l1 2 0.45%. Sarina bina Bl? { Cl+Sec*a) dx —>S\ ax + * sect AK = Cx) + Chaxl —_ “(3 + tom S| (0 + temo. . -Mals _@. Se a5 | MHSUNTTTTRPPRREE EE | wa aK. =-CébxIs cnn fake. ata]. --(o--4 {se Set. (3X) tan 3x) AX ' | i t | SE — Bi ingerbaal Red »_ wld SX) GSK) AK LS _ D et ee, \ (Bslac b)- Es lass) 2 es BWGs (ox) = 40s CX+Gs (3x) fy Sala Gosb)_ @ eS C4s (XWCS.G0)1 AK. _=+ [Sink b4Sin (sei) a--- | % sta). slo)... z e ae CX) AK + < Zsa), a —._|____ = + [as lack) Ces slosbi) @ g ree eee Scanned with CamScanner S Lihabaeagne 2) Finel tke nen-Zeto Abe f. b hr which te deb nite intel “Jor 3) db Unuisher.. => sho, oY (obs) dk = tre. a Viak-3) db [it], -(b* 3b]- [0-0] -Zero ebithetre os blb-3)-0 a ~-¢ithe sa [beats rePared (non-2eto Unhse) a ————— «lesa = required. Gorn mn a emetic — “Compl _ J Charse_ a ma Pox) AK = Caren under te Barve of foxy)“ qeeshons ——_- ah 4. ra Sux. AX = lance abe K aatis)= = (oer unde ARIS tpt KS -(O+@)-to) So {2 3tX) Bf ee Vet * | 4 ~ x. x | Le Hb ne koa Pree aes Bares / cela z Ta Jains hE i | | . at | pa ae v will ih eel Ad: i Hl ‘ | | | Scanned with CamScanner xx_f Poo = Pos J Pex) sia. Call Fw _ } Shia dx = [fw] - - Fu)-Fth) = - [ta + Foy] — : id= ft ac ee Ra Sede Lex], = ¢ (ba) h ! - sition ye Neda = fexl, Clase) Coto yo ) »y& Sista ada fad yl > - [4 4} ai fa) : Ads [hoo]. ) » , } < = \ =. oe == Smee Sr eee ee ) ) ) ) ) ’ xf lox. aL dt -—f axa dX a, a (oxen ple at ie \ox-dho. + — ay Pts] s Litax] . ___! =_ 3), x22 ef 2-254 (0-9) ($-2) AE wt i ce req. =z = Scanned with CamScanner Gfx Secu OX) - dan OL. Ax tgs\a\ VS enes'y auger See x a) pth te eh 8B es Blue x* duu 2x dx yy a XK, oTet Lf Sec lu) kona) din se oes OO) 4 a eeeeeeeeEeeEeeeeSeeeeSSFSSSSSSSSSSSSSSSSSSS —& -_ enn Sl. be AK gt th i os ag Shue Be2X: ai Ae 5 AX bo AX. toad dn = a a Fa fe Cede mashes da want = -l @ AC eet hh we K. adnz- pak decide — ° l dot 3x4 ' of 3 f - cr dn See (4) $l = Scanned with CamScanner Gl ait 8 a daz 3xt dx. cntdxe 1 dn ie A ree yo ta! Ww. at. = te hou! U)4. ~ et ft ee Adan Ae. diate me Pe — 2 Aun _=_ i da. =< - Swi! bw) a ne att. . ee 7 View me = Sw'(4) eC. BL} Sin B) Eas (2) de CS eee =>: kun: imo (S) adel L Gs (BZ) do ene ea aie cd fe de aE ee Sat Bane Scanned with CamScanner bg} $$$ Wo} eee ee ey ae ea) Tl. Sw x) AK } Gos*(x) oes Sau) pile Ws Ss ule dae Sint Ax — ae, ~— fue dae ne “ byl bs it o ethhhae sees 1 | = Zsa Vac | Swix, Ay t ; : ‘ ] Vx Su “y+! mix 4, J 3 Bhat aden sedx ae 7 edo hb, Te of Gata tas WIAs be TAN Sl | i | | i I PPPPPPPPPPPPPPPPD Bw 2 Scanned with CamScanner eens fae Taipan by. Pes S_ arr : [Sia et = sp a ~~ ee #yo) wife = Pingo. + gentoo me 43 SJudu= aul. fide Po» By nak at tee unad | pa — —\S tk 3 [Pin jo ky hu bluse bb. du-. = iw dx] dal a rent En ee dot D a Q ee a a BEBLB a Lo uv-fv. Me tee ee » er Iinhen Se Bias Pe ede ge > bt ied ee _ } or Scanne d with CamScanner ial Sale te Pla (eutiag Tobesqrale sing £ By, bide. - meliod j Eakins ide aa fae 4 As dn ‘o. ~ gif bae Xs Ave. Cx 44> Ax a du nde S_ a Veer a wh a Ta XS e dx : a FR Lyi [(eé =A-X a4 et ee é Af € + —_—$§g=- = xen te + —_ _ ee ORR xk Tn ang Panchen Pen =[ nse Bb ink Pv _ 7 Gece lil and dale ae Sin aed oS tht _dan Pin.di_h Va (€ ov Gos_o Sin) ___ aR 5 Zl UuaxX. AU Qs.X. AK fa din wdX gas Ve Sin X Se JS Sick (-Asxjac =X Sk 4 Gsx 40 PPPPPPP EPP PP Scanned with CamScanner su Cb ueXxe de € aK 8 du oxdx. i V-e* a ee mo Te Ke 2f eda ay Salve by. Paels ne more te eso | ~~ Bla Ue k due dx me a dc A ee ie 8 ng XKeiofxe. =f fay) inna =~ adil - ee - - ex LP ae bal bale as 2 Pnction nA" Ege. laste vaaaell re pool deg rabn by frets AVX? belomen" XE" a Dstt rtiod: Pe SlVing The Previa. Chavaple £ cli iP eK axe ofetdx 2X COKE 2 eC. "rn 2 (Pak by. Pade) Xt asa. Sstlens) oe Pid ied yo dk ee a | dv ee) _ x vy s+ (uv) =(uv) + (uv) @ |X? \ € 2D 2 "jh Ox Pe ee. Gg | Ox |S eX a x a @|2 |e" x Check He acSuer fra the - vg Pia eet tse sil Ito phon acroyictatta Nn npc... nee Secale o Scanned with CamScanner (22) @ ae CY Sin (30) do. ~> tsk Re We oe alas A => Ck. une St. ~ heSinl30) do o_o 7 de 2 PO. Se o) oe i ale le "6s (30) 4 = =e a — éb use deGs Go db a dus Se ee Sin Ge) eect eget Tee Gas(36) 42 (54s Sin (3 (ae) _{. z Z * Sin(z8) de) — — oi TA Lange. Gos 20) 2 2” Sn(30)- ALD ee Risk: mk Cast00) bey Pes -_ t Ftd Aaa stlane ? eLrt Da -L estos % CS OeO | nn aBp--Le 2? Bs (38) - +2 O'Sin (36): £C. _—Coualbiply by “e "yO aL aL- (4 Gs 0) Bein elec) ee rhs watever [2 Ln aig ACS (0a 2 eo Sin (20) 4 Cc J B Sshoul~ with; Laat, Resler be" ta b wae ~ hee x KR Scanned with CamScanner | “Lt 2 TF aod 7 ee (L-3)* At bl uz2k | dy. (4-3) dl dis dk «po V2 (E30 a La -2b (bas 2f ba) dt cok (b's 2f aig --2-3)"s olalt- 2)] = (a-nsalaw) - (0 +2Lna) Le Ue 2ln(s) = 4 Lng = 4-La) _ “ayebnd Iii ae = Ghus ne) 7 der 4 dp es tend =———s Vexr® et Le Lr Flaite. Be 3 Bu + =! pV ltinig ede dr a tk Fla ca Plat) - de wl a. is a l 2 Lea Flats) de (Gi). {S' Ww ‘Lalete ; sci) eT TTP er ee a$$ os il nig fab = 28 243 (ws) 202, at »’) itl Sc. IaishcsiaDiad ap sgeinnacnninpinitealihenaliles acticlivtaspihy ie Tr a lcesta st -iatuthaphach acd tiles oie A pepe El ot hs bet Soe it suited Slane Ss ta ran —_ fl a al a im = ma OOO ees Scanned with CamScanner Wx aemGlu di 1 — es Bh i Seu Glas Av oe oS Ve -CsC ux) © sind Life, 2 nese fescin.da a a / St eae Uh bX éxconaln [esc (xX). Cob un\ eT =. ————— Llama —=_ —_—$_______—_—- oe W(x Siew. Og SX NRX -@- WSivex=L(1- Coste) eee Cos = AX = KOs ax en 2 a aia x dyad x"ee —®& “ a 2 [= x Cs. wnda a “Zhi Xx dh. Es(2u a’ ae dyn obk fa VeSin(2k) Dn xX Sinl2r) e+. \ Sintanidx api Sin@nsd Asoc Les [he +23 se Tad (2-(LxSnensg- Gs on a 2 7 - XX Swen 1 Gs exvac oe Z a & at ded oleapppep Scanned with CamScanner __41 | ~ Siv8 (x). Ax. pe eee vk ene ah . = J Stun Smt dg de ™ = = _ ye: Cos: (x) Siw) aK a ~3- 7 me he Bs tt coder Sim dk a ™~ Se =. : see wot Le aftievt) dao -(u- ee (st Cosa) # oe pasa R eS fel [Sinl5x) Sia(ui dx | gg Sheu Sintge | 4 (Gs (a-8) = Cos (+8) as fa _( Zsisy-unl- Gs: soa) ax. w CoS Ces (@) = a fb (esta pis Bs engi) at (es ). dies (ax\dx) | Siegel ——— =F ee of +(sin (a= p)+Sin(aesl) 4 (-Swnt00 + Sigs) +c a! ip Sina FSO AC ug ey Ge Se a pt a “ay ise Diet fo tye TE es Sie. a 4 (\-Gsten). wmGsw 4 (14 Gsen). =>, Jaf (4G. Gscax)) Ax ail vA X-XCoscari).Ak_= afd ibs Coston AN sei * sess eo Talx dx atx ec bei Lt I agente ts BEDELLELELS Scanned with CamScanner ened Bal el. ; Seas (2x). dx (By Packs) —— - x — A Gs dy a “dx —— i" Je Le Syn XK) a La LK Sin(2x)_- Js Sin (2X). dx. eee ee xX Sweaxyeh to _Gs (2X) ee z ———— es LY Si OX) 4g Gos Qx) $6. et.t (tT) —_ — _ eLt(& . - Sinn _s-4- Zs ton — oo at Xs eX Sim (28).— C25. One. sb CIP cithucnor nis odd) po \ Situs Bs" _dy Chee 4 SL} = in (x) = rte Sia Xs ‘ ‘ | ) 1% { i Scanned with CamScanner Sec unten dx | i } | | | es Gluctat) due SeciwdX on a Ln fu de oe Moet data) ee 2 2 tt a a Seon atk (Xn! BL) Aad @t)Secldabdab | BSc lebata) eo Syed CYT) Turd edt = Sects 4 ~~ = flr en secon & C.(2b) dean (2) AL. a dun EULELES ELE i dd 2 fGectat 1) eCab Sect bob A _ =f (Sectats -SeC rv) Secorhmebd teh ue Sec (eh) adan 2 Se ob) bento) AE. | | a wes. eC(2tSeCob)ec hate Secon dy LELELEELELLLLS ‘ | S : i | & A 2} (hater hatter) Sear da Bhi tn) — dan Sec’ wd, =) (uiut) dee geese ot beth 334385 Scanned with CamScanner
Docsity logo



Copyright © 2024 Ladybird Srl - Via Leonardo da Vinci 16, 10126, Torino, Italy - VAT 10816460017 - All rights reserved