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Chapter 7 Class 12 Integrals
Serial order wise

Example 3 (ii) - Chapter 7 Class 12 Integrals

Last updated at April 16, 2024 by

Example 3 - Chapter 7 Class 12 Integrals - Part 2

 

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Example 3 Find the following integrals: (ii) ∫▒〖𝑐𝑜𝑠𝑒𝑐 𝑥(𝑐𝑜𝑠𝑒𝑐 𝑥+cot⁡𝑥 ) 〗 𝑑𝑥 ∫▒〖𝑐𝑜𝑠𝑒𝑐 𝑥(𝑐𝑜𝑠𝑒𝑐 𝑥+cot⁡𝑥 ) 〗 𝑑𝑥 = ∫▒(𝑐𝑜𝑠𝑒𝑐 𝑥+𝑐𝑜𝑠𝑒𝑐 𝑥 cot⁡𝑥 ) 𝑑𝑥 = ∫▒〖𝑐𝑜𝑠𝑒𝑐^2 𝑥 𝑑𝑥〗+∫▒〖𝑐𝑜𝑠𝑒𝑐 𝑥 cot⁡𝑥 〗 𝑑𝑥 = −𝐜𝐨𝐭⁡𝒙 −𝒄𝒐𝒔𝒆𝒄 𝒙+𝑪 As ∫1▒〖𝑐𝑜𝑠𝑒𝑐^2 𝑥〗 𝑑𝑥=−cot⁡𝑥+𝐶 ∫1▒〖𝑐𝑜𝑠𝑒𝑐 𝑥 cot⁡𝑥 𝑑𝑥〗=−𝑐𝑜𝑠𝑒𝑐 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