Example 17 - Chapter 7 Class 12 Integrals
Last updated at April 16, 2024 by Teachoo
Examples
Example 1 (i)
Example 1 (ii)
Example 1 (iii)
Example 2 (i)
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Example 2 (iii) Important
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Example 5 (iv) Important
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Example 9 (ii) Important
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Example 17 You are here
Example 18 Important
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Example 25 (i)
Example 25 (ii) Important
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Example 25 (iv) Important
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Question 1 Important Deleted for CBSE Board 2024 Exams
Question 2 Deleted for CBSE Board 2024 Exams
Question 3 (Supplementary NCERT) Important Deleted for CBSE Board 2024 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
