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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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.