Chapter Content type Value Position Created at
Chapter 1 - Mathematics Par... text 268 MATHEMATICS 7.8.3 Second fundamental theorem of integ... 88 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 89 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 269 Example 25 Evaluate the following integrals... 90 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 91 Delete Content
Chapter 1 - Mathematics Par... text 270 MATHEMATICS x –1 2 Using partial fraction, we get = +... 92 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 93 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 271 π 3 x dx 1 2x +3 1 2 12. 2cos2 x dx 13. 14.... 94 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 95 Delete Content
Chapter 1 - Mathematics Par... text 272 MATHEMATICS Note In order to quicken this method, we ... 96 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 97 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 273 1 Solution Let t = tan x, then dt = 2 dx . ... 98 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 99 Delete Content
Chapter 1 - Mathematics Par... text 274 MATHEMATICS b b P : f (x)dx = f (a +b − x)dx 3 ∫ a ∫ ... 100 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 101 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 275 b = ∫ a f (a +b –t) dt (by P )1 = b f (a +b... 102 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 103 Delete Content
Chapter 1 - Mathematics Par... text 276 MATHEMATICS (i) Now, if f is an even function, then f... 104 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 105 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 277 π  1 4 π 1 π  π 1 = x – sin 2x  =  –... 106 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 107 Delete Content
Chapter 1 - Mathematics Par... text 278 MATHEMATICS π sin x Example 32 Evaluate ∫ 2 dx 0 sin4... 108 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 109 Delete Content
Chapter 1 - Mathematics Par... text INTEGRALS 279 π Example 34 Evaluate 2log sin x dx ∫0 π So... 110 Delete Content
Chapter 1 - Mathematics Par... image /default_org/ncert_images/class-xii/m... 111 Delete Content
Chapter 1 - Mathematics Par... text 280 MATHEMATICS EXERCISE7.10 Byusingthepropertiesofdefini... 112 Delete Content