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Chapter 7 Class 12 Integrals
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Example 9 (iii) - Find the following integrals (iii) dx / root 5x2 - 2x - Chapter 7 Class 12 CBSE NCERT Math - Integration by specific formulaes - Formula 4

Example 9 (iii) - Chapter 7 Class 12 Integrals - Part 2

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Transcript

Example 9 Find the following integrals: (iii) ﷮﷮ 𝑑𝑥﷮ ﷮5 𝑥﷮2﷯ − 2𝑥﷯ ﷯﷯ ﷮﷮ 𝑑𝑥﷮ ﷮5 𝑥﷮2﷯ − 2𝑥﷯ ﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮5 𝑥﷮2﷯ − 2﷮5﷯𝑥﷯﷯ ﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮5 𝑥﷮2﷯ − 2 𝑥﷯ 1﷮5﷯﷯﷯﷯ ﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮5 𝑥﷮2﷯ − 2 𝑥﷯ 1﷮5﷯﷯ + 1﷮5﷯﷯﷮2﷯− 1﷮5﷯﷯﷮2﷯﷯﷯ ﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮5 𝑥 − 1﷮5﷯﷯﷮2﷯− 1﷮5﷯﷯﷮2﷯﷯﷯ ﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮5﷯ ﷮ 𝑥 − 1﷮5﷯﷯﷮2﷯− 1﷮5﷯﷯﷮2﷯﷯﷯﷯ = ﷮﷮ 𝑑𝑥﷮ ﷮5﷯ ﷮ 𝑥 − 1﷮5﷯﷯﷮2﷯− 1﷮5﷯﷯﷮2﷯﷯﷯﷯ = 1﷮ ﷮5﷯﷯ 𝑙𝑜𝑔 𝑥− 1﷮5﷯+ ﷮ 𝑥− 1﷮5﷯﷯﷮2﷯− 1﷮5﷯﷯﷮2﷯﷯﷯+𝐶1﷯ = 1﷮ ﷮5﷯﷯𝑙𝑜𝑔 𝑥− 1﷮5﷯+ ﷮ 𝑥− 1﷮5﷯﷯﷮2﷯− 1﷮5﷯﷯﷮2﷯﷯﷯+ 𝐶1﷮ ﷮5﷯﷯ = 1﷮ ﷮5﷯﷯𝑙𝑜𝑔 𝑥− 1﷮5﷯+ ﷮ 𝑥﷮2﷯+ 1﷮5﷯﷯﷮2﷯−2 𝑥﷯ 1﷮5﷯﷯− 1﷮5﷯﷯﷮2﷯﷯﷯+𝐶 = 1﷮ ﷮5﷯﷯𝑙𝑜𝑔 𝑥− 1﷮5﷯+ ﷮ 𝑥﷮2﷯− 2𝑥﷮5﷯﷯﷯+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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.