CBSE Class 12 Sample Paper for 2021 Boards

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Question 7 (Choice 1) - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by

Find ∫ 𝑒 𝑥 (1 − cot 𝑥 + 𝑐𝑜𝑠𝑒𝑐 2 𝑥) 𝑑

Find ∫ e^x (1 - cot x + cosec^2 x) dx - Integration [Video] - Teachoo

 

Transcript

Question 7 (Choice 1) Find ∫ 𝑒𝑥 (1 − cot 𝑥 + 𝑐𝑜𝑠𝑒𝑐2𝑥) 𝑑x ∫ 𝑒𝑥 ( [1 − cot 𝑥] + 𝑐𝑜𝑠𝑒𝑐2𝑥) 𝑑x It is of the form ∫1▒〖𝒆^𝒙 [𝒇(𝒙)+𝒇^′ (𝒙)] 〗 𝒅𝒙=𝒆^𝒙 𝒇(𝒙)+𝑪 Where 𝑓(𝑥)=1−cot⁡𝑥 𝑓^′ (𝑥)=0−(−𝑐𝑜𝑠𝑒𝑐^2 𝑥)=𝑐𝑜𝑠𝑒𝑐^2 𝑥 So, our equation becomes ∫ 𝑒𝑥 ( [1 − cot 𝑥] + 𝑐𝑜𝑠𝑒𝑐2𝑥) 𝑑x" " = 𝒆^𝒙 (𝟏−𝒄𝒐𝒕 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, Social Science, Physics, Chemistry, Computer Science at Teachoo.