Check sibling questions

Ex 7.5, 4 - Chapter 7 Class 12 Integrals

Last updated at May 29, 2023 by

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

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Book a free demo

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

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.