Ex 7.4, 10 - Integrate 1 / root x2 + 2x + 2 - Ex 7.4

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.4, 10 1/โˆš(๐‘ฅ^2 + 2๐‘ฅ + 2) Integrating the function ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ โˆซ1โ–’1/โˆš(๐‘ฅ^2 + 2๐‘ฅ + 2) ๐‘‘๐‘ฅ =โˆซ1โ–’1/โˆš(๐‘ฅ^2 + 2(๐‘ฅ)(1) + 2) ๐‘‘๐‘ฅ =โˆซ1โ–’1/โˆš(๐‘ฅ^2 + 2(๐‘ฅ)(1) + (1)^2 โˆ’ (1)^2 + 2) ๐‘‘๐‘ฅ =โˆซ1โ–’1/โˆš((๐‘ฅ + 1)^2 โˆ’ 1 + 2) ๐‘‘๐‘ฅ =โˆซ1โ–’1/โˆš((๐‘ฅ + 1)^2 + 1) ๐‘‘๐‘ฅ =โˆซ1โ–’1/โˆš((๐‘ฅ + 1)^2 + (1)^2 ) ๐‘‘๐‘ฅ =logโก|๐‘ฅ+1+โˆš((๐‘ฅ+1)^2 + (1)^2 )|+๐ถ =logโก|๐‘ฅ+1+โˆš(๐‘ฅ^2 +2๐‘ฅ+1+1)|+๐ถ =๐’๐’๐’ˆโก|๐’™+๐Ÿ+โˆš(๐’™^๐Ÿ +๐Ÿ๐’™+๐Ÿ)|+๐‘ช

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