Ex 7.5, 4 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by Teachoo

Ex 7.5, 4 - Integrate x / (x - 1) (x - 2) (x - 3) - Ex 7.5

Ex 7.5, 4 - Chapter 7 Class 12 Integrals - Part 2

Ex 7.5, 4 - Chapter 7 Class 12 Integrals - Part 3

Next: Ex 7.5, 5 → Remove Ads

Transcript

Ex 7.5, 4 𝑥/(𝑥 − 1)(𝑥 − 2)(𝑥 − 3) . We can write the integrand as 𝑥/((𝑥 − 1) (𝑥 − 2) (𝑥 − 3) ) = 𝐴/((𝑥 − 1) ) + 𝐵/((𝑥 − 2) ) + 𝐶/((𝑥 − 3) ) = (𝐴(𝑥 − 2)(𝑥 − 3) + 𝐵(𝑥 − 1)(𝑥 − 3) + 𝐶(𝑥 −1)(𝑥 − 2))/((𝑥 − 1) (𝑥 − 2) (𝑥 − 3) ) By cancelling denominator 𝑥 = 𝐴(𝑥−2)(𝑥−3)+𝐵(𝑥−1)(𝑥−3)+𝐶(𝑥−1)(𝑥−2) Putting 𝑥=1, in (1) 1 = 𝐴(1−2)(1−3)+𝐵(1−1)(1−3)+𝐶(1−1)(1−2) 1 = 𝐴(−1)(−2)+𝐵×0+𝐶×0 1 = 2𝐴

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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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