Integral Calculus Made Easy PDF
Preview Integral Calculus Made Easy
1 Thorofore, shure muy be (xe eases : - Case 1. When > 0, then el =z 2 a wg ett og ‘hii, florets tee cmt an tn Beis ie L tegen rf nthscate, wt floret tees “hw. bt ewe Jieenetstas 113 SOME STANDARD ELEMENTARY INTEBRALS ‘Based on dilferentiation und definition of intoyration, we hava Ubo following standard rooulte, The student is strongly ndvisod to eommit these reaulta to memary, beause no further Progress is otherwise posable, wde@e = Jods a ros hua stte2 > [Fae etacte tee dy . toi) Aeyee ao Jedecete at), eto Toga)" “tg yasOasl F ww af 3 [eden nee aeet tin Lins) 2 ose to Eb anantne wb dansienets ad 2 et sbecaets tit tesa mesens @ tit) $4 cosee x) = casce x eat = © mt 1 Goo) gre cw) Stan" a= S ect 1 ei) Geto = vo know that 2 or Note, Woknow that i corte tee by 0 constant. a A (ei Sem taba iin Le itd Foot a= Tet a - is & (cosee'x1= a Wit i rr thi eal thon et Be cnc ths = msds seine te Jonze a cosy e actadectans 2 coveel rele =—eot +e Jscstenxds asee +e J cnsve xeue its = —ennee ste 1 yee ene = Rather, ia" and carts pe te = come tx +e, net 1.4 INTEGRATION OF ALGEBRAIC, LOGARITHMIC, EXPONENTIAL AND RATIONAL FUNCTIONS Example, Svatuate the follwing integrals: ofa uy J efae an ae wo fee wif Epa wn fers de FLNDAMENTALINTEGAATICNECAMLAE. 5 uid fe ae (uito foe" te ew fia of TF wp seats.) Spades ar a Jota srd win w) Jearetise & igeae=| pede JM ae foranzed fetes gen falta be maga gn) fee be eet ate 6 iuitoha oaccuLu waoe EAB vin Jer dene wfetaten Ee seat ve ce) [jean tee] 6 Parereine tom [seat a 4.5 IMPORTANT EXTENSIONS OF ELEMENTARY FORMS: (a) All the results mentioned in the standard elementary integrals holds good when xis replaced by (x +2) in any formule ‘whore a > any sonstant. For example: @ fiscerare afer 1 ise +r =e +0". +d | +d Jelget eta eee lecieene Jon! rte) tan te saree ty fet te westeas (bythe ened yao ah ade fay tac cot motion chet, tho sandr fn wi prov he rr o8 RECS avd th cae Sonat hero and bing conta Bereample _loxto facet dent es ayy
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