Amit M Agarwal Integral Calculus IIT JEE Main Advanced Fully Revised Edition for IITJEE Arihant Meerut PDF
Preview Amit M Agarwal Integral Calculus IIT JEE Main Advanced Fully Revised Edition for IITJEE Arihant Meerut
a3 Integral Calculus BE PREPARED FOR Fully Revised JEE 3018 MAIN & ADVANCED Integral Calculus ractice all Objective Questions from is book on your mobile for Free tailed instructions inside Amit M. Agarwal sc 3K ARIHANT PRAKASHAN, MEERUT PREFACE “You can do anything if you set your mind to it, I teach caleulus to JEE aspirants but believe the most important formula is Courage+ Dreams = Success” I is a matter of great pride and honour for me to have received such an. ‘overwhelming response to the previous editions ofthis book from the readers. Ina way, this has inspired me to revise this book thoroughly as per the changed pattern of JEE Main & Advanced. [have tried to make the contents more relevant as per the needs of students, many topics have been rewritten, a lot of ‘new problems of new types have been added in etcetc. All possible efforts are ‘made to remove all the printing errors that had crept in previous editions. The book is now in such a shape that the students would feel at ease while going through the problems, which will in turn clea their concepts t00. ‘A Summary of changes that have been made in Revised & Enlarged Edition ‘+ Theory has been completely updated so as to accommodate all the changes smade in JEE Syllabus & Pattern in recent years + The most important point about this new edition is, now the whole text matter of each chapter has been divided into small sessions with exercise in each session. In this way the reader will be able to go through the whole chapter in a systematic way, + Justafter completion of theory, Solved Examples of all JEE types have been given, providing the students a complete understanding of all the formats of JEE questions & the level of difficulty of questions generally asked in JEE. + Along with exercises given with each session, a complete cumulative exercises hhave been given at the end of each chapter so as to give the students complete practice for JEE along with the assessment of knowledge that they have gained swith the study ofthe chapeer. + Last 10 Years questions asked in JEE Main &Adv, ITTJEE & AIEEE have been ‘covered in all the chapters. However I have made the best efforts and put my all calculus teaching ‘experience in revising this book. Still | am looking forward to get the valuable Suapstins and ris rom my own rater the faery of EE would also like to motivate the students to send their suggestions or the changes that they want to be incorporated in this book. All the suggestions given by you all will be kept in prime focus at the time of next revision of the book. ‘Amit M. Agarwal CONTENTS 1. Indefinite Integral 1-82 LEARNING PART Sesion $ Sesion 1 + Tnerton Using Prt Factions + "Fundamental of Indefinite lege ue Sedan Indie and Derived Substations + Method of tegration Seon 7 Sesion 3 ¢"Eale Subation, Redon Formula + Some Spec ater tod Ineguton Usog Difereniaion Sean 4 PRACTICE PART + JEE Type Examples + Chaper Execs + Iegratin by Parts Definite Integral 83-164 LEARNING PART. Session 5 Session 1 + "Appliations of Perodic Functons and 1 Integration Basis pen NNewor-Lebei’s Formula + Geometrical Interpretation of Definite Lengel y ST cna Linco Sus + Balaton of Definite Integra 1 eeegation a Limit of a Sum Substitution + Applications of equal, + Gamma Function Sesion? + Beta Function + Properties of Definite Integral 1 Renin | Session 3 + Applications of Piecewise Function PRACTICE PART Property + JBE Type Examples Session 4 + Chapeer Execs, + Applications of Even Oud Property and Hal the Integral Lime Property 3, Area of Bounded Regions “LEARNING PART Session 1 + Sketching of Some Common Curves Some More Curves Which Occur requendly in Mathematis in Standard Forms + Asmptotes 2 Area of Curves 4, Differential Equations LEARNING PART Session 1 + Solution ofa Diflerentil Equation Session 2 +” Solving of Variable Seperable Form + Homogeneous Differential Equation Session 3 + Solving of Linear Differential Equations + Bernoul’s Equation + Orthogonal Trajectory 165-232 Session 2 ‘tea Bounded by Two or More Curves PRACTICE PART 4 JEE Type Examples + Chapeer Exercises 233-308 Session 4 ‘+ Exact Differential Equations Session 5 1+ Solving of Fest Order & Higher Degrees ‘+ Application of Differential Equations + Applicaton of Fist Over Diferenta ‘uations [PRACTICE PART + JEE Type Examples + Chapter Exercises SYLLABUS FOR JEE MAIN Integral Calculus Integral as an anti - derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the ype f—# pe, fied, ities latthte athe Integral as limit ofa sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form. Differential Equations (Ordinary differential equations thet order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations of the type & + pial = abe) SYLLABUS FOR JEE Advanced Integral Calculus Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, aplication ofthe Fundamental ‘Theorem of Integral Calculus. Integration by parts, integration by the methods of substitution and partial factions, application of definite integrals tothe determination of areas involving simple Formation of ordinary differential equations, solution of homogeneous ferential equations variables separable method, linear first order differential equations. CHAPTER 01 Indefinite Integral Learning Part session + fundamental of indefinite repr session? + Methods of neration session’ + Some Special Integrals sessions + Integration by Parts sessions + Integration Using Paria Facons Session 6 + Indirect and Derived Substitutions Session? + Euler Substitution, Reduction Formula and integration Using Dfeentiaton Practice Part +SEE Type Bamples + chapter Exercises ‘inant on Your Mobile! ‘erses wth the symbol con be rated on your mobile See inside cover pogetoacvat fore 2 Tentook of integral Clas ‘eatin hs apes tthe proces of integration wat treated by Lest the symbalff being regarded the nt eter ofthe word um, nthe tne way athe Symbol of lleretton ds the ini eter nthe word tence Definition Uf and gare anton fx uch ht (x) f (0 then the function gelled an eatin or patie function or imply integra of wrt wen tay foro) ste) Remar incor far ep tain gren rea 2 ffnsraa s)vvrancecra Session 1 4 yr geratnens’t Hexample 120" ee ne he find fore st a die tocleuenet yatta 12% 2 fe example 2 anc) = cosy then fins feosxde oo Leese fowusamave Fundamental of Indefi nite Integral Fundamental of Indefinite Integral es iatese ° [redenstaec erie sed upon theft nd aru stand Teasnon ma notin he owng ‘Segaton rm oa es pranieine co dtoisii= af Sdemteinie nbn Benet okteoudeus = fone a (09 Ltins)scorx = fooedensin xs 4 1 : (in Lean spent x face xeon sc co Lets) feo 00 Sees)amertns O facrtncdense se (0 L-com some tet 9 Jeosee eat x de =—conee x46 feotsde slogan xi +c oo dite “ (1 gon yaan S foanzér=-bgleor 6 a ogi ss ome face de=tg ex ns} 46 (20) 4 dopcosee x cot x) 1 Leone xox) seme feome de atogleonee xcs] + et ote JE (Z hap OF indefinite regal 3 = foot setae rade set aetec (= fet 97 eteigartne nebo) 1 Jot esse sede example & evaate (0 fan? xae wo a of 0) 1 fmt née > fn! 1 fn xe fe (ig t= [acters fs raferias ont afb fits et et ates vo feapgt 4 Tertook of negra! Clee {ample 6 catate feed wf ta tafser ae efit (ange Pen) asa (oe fe ae fe ae [ove x= 00] ee afte Gos forractetee expe atte Hg ee ave SSecaacanmaionaacedarbemne eer gt example 5 eke ofee ea a rane 8 ate Omen — Olea Bonen fang Pag rere rete afehees fahpten-tomwteee vation tet sotahe ues
The list of books you might like
