Example 17 - Find integral x cos x dx - Chapter 7 Class 12 - Examples

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Example 17 Find ﷮﷮𝑥﷯ cos﷮𝑥﷯ 𝑑𝑥 ﷮﷮𝑥﷯ cos﷮𝑥﷯ 𝑑𝑥 Using by parts First Function, 𝑓 𝑥﷯=𝑥 Second Function, 𝑔 𝑥﷯= cos﷮𝑥﷯ ∴ ﷮﷮𝑥𝑐𝑜𝑠 𝑥 𝑑𝑥=𝑥 ﷮﷮ cos﷮𝑥 𝑑𝑥− ﷮﷮ 𝑑𝑥﷮𝑑𝑥﷯ ﷮﷮ cos﷮𝑥 𝑑𝑥﷯﷯﷯𝑑𝑥﷯﷯﷯﷯ = 𝑥 sin﷮𝑥﷯﷯− ﷮﷮1. sin﷮𝑥 𝑑𝑥﷯﷯ =𝑥 sin﷮𝑥− − cos﷮𝑥﷯﷯+𝐶﷯ =𝒙 𝒔𝒊𝒏﷮𝒙+ 𝐜𝐨𝐬﷮𝒙﷯+𝑪﷯

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