Chapter Content type Value Position Created at
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 15 Delete Content
Chapter 1 - Mathematics Par... text 232 MATHEMATICS (iii) We know that d 1 d 1 1 (log x) = ,x... 16 Delete Content
Chapter 1 - Mathematics Par... text 234 MATHEMATICS Giventhat F(0) = 3,whichgives, 3 = 0 – 6 ... 20 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 21 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 235 15. x(3x + 2x + 3) dx 16. (2x – 3cos x +e )... 22 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 23 Delete Content
Chapter 1 - Mathematics Par... text 236 MATHEMATICS Consider I = ∫ f (x) dx dx Put x = g(t) s... 24 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 25 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 237 5 Therefore, 2 ∫an t sec t dt = 2 ∫ du = 2 ... 26 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 27 Delete Content
Chapter 1 - Mathematics Par... text 238 MATHEMATICS Put sin x = t so that cos x dx = dt dt Th... 28 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 29 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 243 EXERCISE7.3 Find the integrals of the funct... 38 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 39 Delete Content
Chapter 1 - Mathematics Par... text 244 MATHEMATICS dx 1 a + x (2) ∫a – x 2 = 2a log a – x +C... 40 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 41 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 245 dx 1  dx + dx  Therefore, ∫ a – x2 = 2a ... 42 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 43 Delete Content
Chapter 1 - Mathematics Par... text 246 MATHEMATICS 2 x x = log a + a2 +1 + C 1 2 2 = log x +... 44 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 45 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 247 (10) For the evaluation of the integral of ... 46 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 47 Delete Content
Chapter 1 - Mathematics Par... text 248 MATHEMATICS (ii) Thegivenintegralisoftheform7.4(7).We... 48 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 49 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 249 dx = dx (iii) We have∫ 5x −2x ∫  2 2x 5x... 50 Delete Content