Ex 7.5, 17 - Chapter 7 Class 12 Integrals (Important Question)

Last updated at April 16, 2024 by Teachoo

Ex 7.5, 17 - Integrate cos x / (1 - sin x) (2 - sin x) - Ex 7.5

Ex 7.5, 17 - Chapter 7 Class 12 Integrals - Part 2

Ex 7.5, 17 - Chapter 7 Class 12 Integrals - Part 3

Ex 7.5, 17 - Chapter 7 Class 12 Integrals - Part 4

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Transcript

Ex 7.5, 17 cos (1 sin )(2 sin ) [Hint: Put sin x = t] Let sin = Diff. . . . = = Now we can write cos (1 sin )(2 sin ) = cos (1 )(2 ) = (1 )(2 ) Now we can write 1 1 2 = 1 + 2 1 1 2 = 2 + 1 1 2 By cancelling denominator 1= 2 + 1 Putting t = 1 in (1) 1= 1 2 + 1 1 1= 1 + 0 1= = 1 Similarly putting t = 2 1= 2 2 + 2 1 1= 0 + 1 1= =1 Hence we can write 1 1 2 = 1 1 + 1 2 Integrating . . . . 1 1 2 = 1 1 + 1 2 = log 1 + log 2 + Putting back t = = log sin 1 + log sin 2 + = log sin 2 log sin 1 + = log sin 2 sin 1 + = log 1 2 sin 1 1 sin + = +

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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