Ex 7.3, 18 - Integrate cos 2x + 2 sin2 x / cos2 x dx - Ex 7.3

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Ex 7.3, 18 Integrate the function (cosโก2๐‘ฅ + 2 sin^2โก๐‘ฅ)/cos^2โก๐‘ฅ ๐‘‘๐‘ฅ โˆซ1โ–’(cosโก2๐‘ฅ + 2 sin^2โก๐‘ฅ)/cos^2โก๐‘ฅ ๐‘‘๐‘ฅ =โˆซ1โ–’(๐Ÿ โˆ’ ๐Ÿ ใ€–๐’”๐’Š๐’ใ€—^๐Ÿโก๐’™ + 2 sin^2โก๐‘ฅ)/cos^2โก๐‘ฅ ๐‘‘๐‘ฅ =โˆซ1โ–’1/cos^2โก๐‘ฅ ๐‘‘๐‘ฅ =โˆซ1โ–’sec^2โก๐‘ฅ ๐‘‘๐‘ฅ =๐ญ๐š๐งโก๐’™+๐‘ช (cosโก2๐‘ฅ=1โˆ’2 sin^2โก๐‘ฅ)

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