Ex 7.3

Chapter 7 Class 12 Integrals
Serial order wise

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### Transcript

Ex 7.3, 13 Integrate the function cosโกใ2๐ฅ โ cosโก2๐ผ ใ/cosโกใ๐ฅ โ cosโก๐ผ ใ โซ1โใcosโกใ2๐ฅ โ cosโก2๐ผ ใ/cosโกใ๐ฅ โ cosโก๐ผ ใ " " ๐๐ฅใ =โซ1โ((2 cos^2โกใ๐ฅ โ 1ใ ) โ (2 cos^2โกใ๐ผ โ 1ใ ))/(cosโก๐ฅ โ cosโก๐ผ ) ๐๐ฅ =โซ1โ(2 cos^2โกใ๐ฅ โ 1ใ โ 2 cos^2โกใ๐ผ + 1ใ)/(cosโก๐ฅ โ cosโก๐ผ ) ๐๐ฅ =โซ1โ(2 cos^2โก๐ฅ โ 2 cos^2โก๐ผ + 1 โ 1)/(cosโก๐ฅ โ cosโก๐ผ ) ๐๐ฅ =โซ1โ2(cos^2โก๐ฅ โ cos^2โก๐ผ )/(cosโก๐ฅ โ cosโก๐ผ ) ๐๐ฅ =2โซ1โ(cos^2โก๐ฅ โ cos^2โก๐ผ)/(cosโก๐ฅ โ cosโก๐ผ ) ๐๐ฅ =2โซ1โ((๐๐๐ โก๐ฅ โ ๐๐๐ โก๐ผ ) (๐๐๐ โก๐ฅ + ๐๐๐ โก๐ผ ))/((๐๐๐ โก๐ฅ โ ๐๐๐ โก๐ผ ) ) ๐๐ฅ =2โซ1โ(๐๐๐ โก๐ฅ+๐๐๐ โก๐ผ ) ๐๐ฅ =2(โซ1โ๐๐๐ โก๐ฅ ๐๐ฅ+โซ1โ๐๐๐ โก๐ผ ๐๐ฅ) =2(โซ1โ๐๐๐ โก๐ฅ ๐๐ฅ+๐๐๐ โก๐ผ โซ1โ1. ๐๐ฅ) =๐(๐๐๐โก๐+๐โก๐๐๐ ๐ถ)" +" ๐ช (๐๐๐ โก2๐=2 ใ๐๐๐ ใ^2โก๐โ1)