Ex 7.1, 11 - Integrate (x3 + 5x2 - 4)/x2 dx - NCERT - Ex 7.1

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.1, 11 ﷮﷮ 𝑥﷮3﷯ + 5 𝑥﷮2﷯ − 4﷮ 𝑥﷮2﷯﷯﷯𝑑𝑥 ﷮﷮ 𝑥﷮3﷯ + 5 𝑥﷮2﷯ − 4﷮ 𝑥﷮2﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥﷮3﷯﷮ 𝑥﷮2﷯﷯ + 5 𝑥﷮2﷯﷮ 𝑥﷮2﷯﷯ − 4﷮ 𝑥﷮2﷯﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥+5−4 𝑥﷮−2﷯﷯﷯𝑑𝑥 = ﷮﷮ 𝑥+5 𝑥﷮0﷯−4 𝑥﷮−2﷯﷯﷯𝑑𝑥 = ﷮﷮𝑥﷯𝑑𝑥+5 ﷮﷮ 𝑥﷮0﷯﷯𝑑𝑥−4 ﷮﷮ 𝑥﷮−2﷯﷯𝑑𝑥 = 𝑥﷮1 + 1﷯﷮1 + 1﷯ + 5 𝑥﷮0 + 1﷯﷮0 + 1﷯ − 4 𝑥﷮−2 + 1﷯﷮−2 + 1﷯ + 𝐶 = 𝑥﷮2﷯﷮2﷯ + 5𝑥 − 4 𝑥﷮−1﷯﷮−1﷯ + 𝐶 = 𝑥﷮2﷯﷮2﷯ + 5𝑥+ 4 𝑥﷮−1﷯+ 𝐶 = 𝒙﷮𝟐﷯﷮𝟐﷯ + 𝟓𝒙+ 𝟒﷮𝒙﷯ + 𝑪

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.