Example 2 (iii) - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by Teachoo

Example 2 - Chapter 7 Class 12 Integrals - Part 4

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Example 2 Find the following integrals: (iii) ∫▒(𝑥^(3/2)+2𝑒^𝑥−1/𝑥) 𝑑𝑥 ∫1▒(𝑥^(3/2)+2𝑒^𝑥−1/𝑥) 𝑑𝑥 =∫1▒𝑥^(3/2) 𝑑𝑥+2∫1▒𝑒^𝑥 𝑑𝑥−∫1▒1/𝑥 𝑑𝑥 = 𝑥^(3/2 + 1)/(3/2 + 1) +2𝑒^𝑥−log⁡〖 |𝑥|〗+𝐶 = 𝑥^(5/2)/(5/2)+2𝑒^𝑥−〖log 〗⁡|𝑥|+𝐶 = 〖𝟐𝒙 〗^(𝟓/𝟐)/𝟓+𝟐𝒆^𝒙−〖𝒍𝒐𝒈 〗⁡|𝒙|+𝑪 As ∫1▒𝑥^𝑛 𝑑𝑥=𝑥^(𝑛 + 1)/(𝑛 + 1) +𝐶 ∫1▒𝑒^𝑥 𝑑𝑥=𝑒^𝑥 +𝐶 ∫1▒1/𝑥 𝑑𝑥=log⁡〖 |𝑥|〗 +𝐶

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Davneet Singh

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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