Example 1 - Write anti derivative using inspection - Examples

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  1. Chapter 7 Class 12 Integrals (Term 2)
  2. Serial order wise

Transcript

Example 1 Write an anti derivative for each of the following functions using the method of inspection: (i) cosโก2๐‘ฅ We know that (๐‘ ๐‘–๐‘› ๐‘ฅ)^โ€ฒ=๐‘๐‘œ๐‘  ๐‘ฅ (๐‘ ๐‘–๐‘› 2๐‘ฅ)^โ€ฒ=๐‘๐‘œ๐‘  2๐‘ฅร— 2 (๐‘ ๐‘–๐‘› 2๐‘ฅ)^โ€ฒ=2๐‘๐‘œ๐‘  2๐‘ฅ (๐‘ ๐‘–๐‘› 2๐‘ฅ)^โ€ฒ/2=๐‘๐‘œ๐‘  2๐‘ฅ โˆด Anti Derivative of (cos 2x) is ๐Ÿ/๐Ÿ (๐’”๐’Š๐’ ๐Ÿ๐’™)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.