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Chapter 7 Class 12 Integrals
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Example 3 (iii) - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by

Example 3 - Chapter 7 Class 12 Integrals - Part 3

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Example 3 Find the following integrals: (iii) ∫▒(1 − sin⁡𝑥)/cos^2⁡𝑥 𝑑𝑥 ∫▒(1 − sin⁡𝑥)/cos^2⁡𝑥 𝑑𝑥 = ∫▒(1/cos^2⁡𝑥 − sin⁡𝑥/cos^2⁡𝑥 ) 𝑑𝑥 = ∫▒(sec^2⁡𝑥−sin⁡𝑥/𝑐𝑜𝑠⁡𝑥 . 1/𝑐𝑜𝑠⁡𝑥 ) 𝑑𝑥 = ∫▒(sec^2⁡𝑥−tan⁡𝑥 sec⁡𝑥 ) 𝑑𝑥 = 𝒕𝒂𝒏⁡𝒙−𝒔𝒆𝒄⁡𝒙+𝑪 As ∫1▒〖𝑠𝑒𝑐^2 𝑥 𝑑𝑥〗=tan⁡𝑥+𝐶 ∫1▒〖𝑠𝑒𝑐 𝑥 tan⁡〖𝑥 𝑑𝑥〗 〗=𝑠𝑒𝑐 𝑥+𝐶

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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