Example 17 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by Teachoo

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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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