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

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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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.