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Example 17 - Chapter 7 Class 12 Integrals (Term 2)
Last updated at Dec. 8, 2016 by Teachoo
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Examples
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Example 25 Important Deleted for CBSE Board 2023 Exams
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Example 25 (Supplementary NCERT) Important Deleted for CBSE Board 2023 Exams
Chapter 7 Class 12 Integrals
Serial order wise
Transcript
Example 17 Find 𝑥 cos𝑥 𝑑𝑥 𝑥 cos𝑥 𝑑𝑥 Using by parts First Function, 𝑓 𝑥=𝑥 Second Function, 𝑔 𝑥= cos𝑥 ∴ 𝑥𝑐𝑜𝑠 𝑥 𝑑𝑥=𝑥 cos𝑥 𝑑𝑥− 𝑑𝑥𝑑𝑥 cos𝑥 𝑑𝑥𝑑𝑥 = 𝑥 sin𝑥− 1. sin𝑥 𝑑𝑥 =𝑥 sin𝑥− − cos𝑥+𝐶 =𝒙 𝒔𝒊𝒏𝒙+ 𝐜𝐨𝐬𝒙+𝑪
