Chapter 7 Class 12 Integrals
Concept wise

Ex 7.2, 15 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by

Ex 7.2, 15 - Integrate x/(9 - 4x2) - Chapter 7 NCERT - Integration by substitution - x^n

Ex 7.2, 15 - Chapter 7 Class 12 Integrals - Part 2

Go Ad-free

Transcript

Ex 7.2, 15 Integrate the function: 𝑥﷮9 − 4𝑥2﷯ Step 1: Let 9 – 4𝑥2 = 𝑡 Differentiating both sides 𝑤.𝑟.𝑡.𝑥 0−4.2 𝑥﷮2−1﷯= 𝑑𝑡﷮𝑑𝑥﷯ −8𝑥.𝑑𝑥=𝑑𝑡 𝑑𝑥 = 𝑑𝑡﷮−8𝑥﷯ Step 2: Integrating the function ﷮﷮ 𝑥﷮9 − 4𝑥2﷯﷯ . 𝑑𝑥 Putting 9 − 4𝑥2=𝑡 & 𝑑𝑥= 𝑑𝑡﷮−8𝑥﷯ = ﷮﷮ 𝑥﷮𝑡﷯﷯ . 𝑑𝑡﷮−8𝑥﷯ = − 1﷮8﷯ ﷮﷮ 1﷮𝑡﷯﷯ . 𝑑𝑡 = − 1﷮8﷯ log ﷮ 𝑡﷯﷯+𝐶 = − 𝟏﷮𝟖﷯ 𝐥𝐨𝐠 ﷮ 𝟗 − 𝟒𝒙𝟐﷯﷯+𝑪

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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo