Ex 7.2, 2 - Chapter 7 Class 12 Integrals

Last updated at August 5, 2026 by Teachoo

Ex 7.2, 2 - Integrate: (log x)2 / x - Chapter 7 NCERT - Integration by substitution - x^n

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

Take a fresh quiz. Then take another.

Every attempt is a new AI-adaptive Teachoo quiz with 3 questions, selected from your answers, mistakes, and progress.

Take short quiz More Quiz and Worksheets

Next: Ex 7.2, 8 → Remove Ads

Transcript

Ex 7.2, 2 Integrate the function: (log⁡𝑥 )^2/𝑥 Step 1: Let log 𝑥= 𝑡 Differentiate 𝑤.𝑟.𝑡.𝑥 𝑑𝑡/𝑑𝑥= 1/𝑥 𝑑𝑡.𝑥=𝑑𝑥 𝑑𝑥=𝑑𝑡.𝑥 Step 2: Integrating function ∫1▒(log⁡𝑥 )^2/𝑥 𝑑𝑥 Putting (𝑙𝑜𝑔⁡𝑥 )^2=𝑡=𝑥 𝑑𝑡 = ∫1▒𝑡^2/𝑥 𝑑𝑡.𝑥 = ∫1▒〖𝑡^2 𝑑𝑡〗 = 𝑡^(2+1)/(2+1)+𝐶 = 𝑡^3/3+𝐶 Putting 𝑡=log⁡|𝑥| =𝟏/𝟑 (𝒍𝒐𝒈⁡|𝒙| )^𝟑+𝑪

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular