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Ex 7.3, 13 - Integrate cos 2x - cos 2a / cos x - cos a - Ex 7.3

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  1. Class 12
  2. Important Question for exams Class 12
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Ex 7.3, 13 cos﷮2𝑥 − cos﷮2𝛼﷯﷯﷮ cos﷮𝑥 − cos﷮𝛼﷯﷯﷯ ﷮﷮ cos﷮2𝑥 − cos﷮2𝛼﷯﷯﷮ cos﷮𝑥 − cos﷮𝛼﷯﷯﷯ 𝑑𝑥﷯ = ﷮﷮ 2 cos﷮2﷯﷮𝑥 − 1﷯﷯ − 2 cos﷮2﷯﷮𝛼 − 1﷯﷯﷮ cos﷮𝑥﷯ − cos﷮𝛼﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 2 cos﷮2﷯﷮𝑥 − 1﷯ − 2 cos﷮2﷯﷮𝛼 + 1﷯﷮ cos﷮𝑥﷯ − cos﷮𝛼﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 2 cos﷮2﷯﷮𝑥﷯ − 2 cos﷮2﷯﷮𝛼﷯ + 1 − 1﷮ cos﷮𝑥﷯ − cos﷮𝛼﷯﷯﷯ 𝑑𝑥 = ﷮﷮ 2 cos﷮2﷯﷮𝑥﷯ − cos﷮2﷯﷮𝛼﷯﷯﷮ cos﷮𝑥﷯ − cos﷮𝛼﷯﷯﷯ 𝑑𝑥 =2 ﷮﷮ cos﷮2﷯﷮𝑥﷯ − cos﷮2﷯﷮𝛼﷯﷮ cos﷮𝑥﷯ − cos﷮𝛼﷯﷯﷯ 𝑑𝑥 =2 ﷮﷮ 𝑐𝑜𝑠﷮𝑥﷯ − 𝑐𝑜𝑠﷮𝛼﷯﷯ 𝑐𝑜𝑠﷮𝑥﷯ + 𝑐𝑜𝑠﷮𝛼﷯﷯﷮ 𝑐𝑜𝑠﷮𝑥﷯ − 𝑐𝑜𝑠﷮𝛼﷯﷯﷯﷯ 𝑑𝑥 =2 ﷮﷮ 𝑐𝑜𝑠﷮𝑥﷯+ 𝑐𝑜𝑠﷮𝛼﷯﷯﷯ 𝑑𝑥 =2 ﷮﷮ 𝑐𝑜𝑠﷮𝑥﷯﷯𝑑𝑥+ ﷮﷮ 𝑐𝑜𝑠﷮𝛼﷯﷯ 𝑑𝑥﷯ =2 ﷮﷮ 𝑐𝑜𝑠﷮𝑥﷯﷯𝑑𝑥+ 𝑐𝑜𝑠﷮𝛼﷯ ﷮﷮1﷯. 𝑑𝑥﷯ =𝟐 𝒔𝒊𝒏﷮𝒙﷯+ 𝒙﷮𝒄𝒐𝒔﷯𝜶﷯ + 𝑪

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