Example 3 - Chapter 7 Class 12 Integrals - Part 2

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

Transcript

Example 3 Find the following integrals: (ii) โˆซโ–’ใ€–๐‘๐‘œ๐‘ ๐‘’๐‘ ๐‘ฅ(๐‘๐‘œ๐‘ ๐‘’๐‘ ๐‘ฅ+cotโก๐‘ฅ ) ใ€— ๐‘‘๐‘ฅ โˆซโ–’ใ€–๐‘๐‘œ๐‘ ๐‘’๐‘ ๐‘ฅ(๐‘๐‘œ๐‘ ๐‘’๐‘ ๐‘ฅ+cotโก๐‘ฅ ) ใ€— ๐‘‘๐‘ฅ = โˆซโ–’(๐‘๐‘œ๐‘ ๐‘’๐‘ ๐‘ฅ+๐‘๐‘œ๐‘ ๐‘’๐‘ ๐‘ฅ cotโก๐‘ฅ ) ๐‘‘๐‘ฅ = โˆซโ–’ใ€–๐‘๐‘œ๐‘ ๐‘’๐‘^2 ๐‘ฅ ๐‘‘๐‘ฅใ€—+โˆซโ–’ใ€–๐‘๐‘œ๐‘ ๐‘’๐‘ ๐‘ฅ cotโก๐‘ฅ ใ€— ๐‘‘๐‘ฅ = โˆ’๐œ๐จ๐ญโก๐’™ โˆ’๐’„๐’๐’”๐’†๐’„ ๐’™+๐‘ช As โˆซ1โ–’ใ€–๐‘๐‘œ๐‘ ๐‘’๐‘^2 ๐‘ฅใ€— ๐‘‘๐‘ฅ=โˆ’cotโก๐‘ฅ+๐ถ โˆซ1โ–’ใ€–๐‘๐‘œ๐‘ ๐‘’๐‘ ๐‘ฅ cotโก๐‘ฅ ๐‘‘๐‘ฅใ€—=โˆ’๐‘๐‘œ๐‘ ๐‘’๐‘ ๐‘ฅ+๐ถ

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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.