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 Ex 7.6, 2 - Integrate x sin 3x - Chapter 7 Class 12 - Ex 7.6

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.6, 2 𝑥 sin﷮3𝑥﷯ ﷮﷮𝑥 sin﷮3𝑥﷯﷯ 𝑑𝑥 ﷮﷮𝑥 sin﷮3𝑥﷯﷯ 𝑑𝑥=𝑥 ﷮﷮ sin﷮ 3𝑥﷯﷯﷯𝑑𝑥− ﷮﷮ 𝑑𝑥﷮𝑑𝑥﷯ ﷮﷮ sin﷮3𝑥﷯𝑑𝑥﷯﷯﷯𝑑𝑥 = 𝑥 − cos﷮ 3𝑥﷯﷯﷯﷮3﷯ − ﷮﷮ 1 − cos﷮3𝑥﷯﷯﷮3﷯﷯𝑑𝑥 = − 𝑥 cos﷮3𝑥﷯ ﷮3﷯+ ﷮﷮ cos﷮3𝑥﷯﷮3﷯﷯ 𝑑𝑥 = − 𝑥 cos﷮3𝑥﷯ ﷮3﷯+ sin﷮3𝑥﷯﷮3 . 3﷯+𝐶 = − 𝒙 𝒄𝒐𝒔﷮𝟑𝒙﷯ ﷮𝟑﷯+ 𝟏﷮𝟗﷯ 𝒔𝒊𝒏﷮𝟑𝒙﷯+𝑪

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