Example 8 (ii) - Find integration dx/ root 2x - x2  - Integration by specific formulaes - Formula 5

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  1. Chapter 7 Class 12 Integrals
  2. Concept wise
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Example 8 Find the following integrals: (ii) โˆซ1โ–’๐‘‘๐‘ฅ/โˆš(2๐‘ฅ โˆ’ ๐‘ฅ^2 ) โˆซ1โ–’๐‘‘๐‘ฅ/โˆš(2๐‘ฅ โˆ’ ๐‘ฅ^2 ) Adding and subtracting 1 in denominator = โˆซ1โ–’๐‘‘๐‘ฅ/โˆš(โˆ’ใ€– ๐‘ฅใ€—^2 + 2๐‘ฅ + 1โˆ’1) = โˆซ1โ–’๐‘‘๐‘ฅ/โˆš(1 โˆ’ ๐‘ฅ^2 + 2๐‘ฅ โˆ’ 1) = โˆซ1โ–’๐‘‘๐‘ฅ/โˆš(1 โˆ’ (๐‘ฅ^2 โˆ’ 2๐‘ฅ + 1) ) = โˆซ1โ–’๐‘‘๐‘ฅ/โˆš(1 โˆ’ใ€– (๐‘ฅ โˆ’ 1)ใ€—^2 ) = โˆซ1โ–’๐‘‘๐‘ฅ/โˆš(1^2 โˆ’ใ€– (๐‘ฅ โˆ’ 1)ใ€—^2 )

Chapter 7 Class 12 Integrals
Concept wise

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