Example 2 (i) - Chapter 7 Class 12 Integrals

Last updated at August 11, 2026 by

Example 2 - Find integrals (i) x^3 - 1 / x^2 dx (ii) x^2/3 + 1 dx

Example 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.
Remove Ads
Teachoo Ā· Class 12 Explore Class 12

Transcript

Example 2 Find the following integrals: (i) āˆ«ā–’(š‘„^3 āˆ’ 1)/š‘„^2 š‘‘š‘„ āˆ«1ā–’怖((š‘„^3 āˆ’ 1))/š‘„^2 .š‘‘š‘„怗 =āˆ«1ā–’(š‘„^3/š‘„^2 āˆ’1/š‘„^2 )š‘‘š‘„ =āˆ«1ā–’怖(š‘„āˆ’1/š‘„^2 ).š‘‘š‘„怗 =āˆ«1ā–’怖š‘„ š‘‘š‘„āˆ’āˆ«1ā–’怖1/š‘„^2 š‘‘š‘„怗怗 =āˆ«1ā–’怖š‘„^1 š‘‘š‘„āˆ’āˆ«1ā–’怖š‘„^(āˆ’2). š‘‘š‘„怗怗 =[(š‘„^(1 + 1)/(1 + 1))]āˆ’[(š‘„^(āˆ’2 + 1)/(āˆ’2 + 1))]+š¶ =š‘„^2/2āˆ’š‘„^(āˆ’1)/(āˆ’1)+š¶ (ā–ˆ(āˆ«1ā–’怖š‘„^š‘› š‘‘š‘„=š‘„^(š‘›+1)/(š‘›+1)+š¶ć€—)) =š‘„^2/2+š‘„^(āˆ’1)+š¶ =š’™^šŸ/šŸ+šŸ/š’™ +š‘Ŗ

Davneet Singh's photo - Co-founder, Teachoo

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.