Example 2 (iii) - Chapter 7 Class 12 Integrals

Last updated at August 10, 2026 by

Example 2 - Chapter 7 Class 12 Integrals - Part 4

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 ยท Class 12 Explore Class 12

Transcript

Example 2 Find the following integrals: (iii) โˆซโ–’(๐‘ฅ^(3/2)+2๐‘’^๐‘ฅโˆ’1/๐‘ฅ) ๐‘‘๐‘ฅ โˆซ1โ–’(๐‘ฅ^(3/2)+2๐‘’^๐‘ฅโˆ’1/๐‘ฅ) ๐‘‘๐‘ฅ =โˆซ1โ–’๐‘ฅ^(3/2) ๐‘‘๐‘ฅ+2โˆซ1โ–’๐‘’^๐‘ฅ ๐‘‘๐‘ฅโˆ’โˆซ1โ–’1/๐‘ฅ ๐‘‘๐‘ฅ = ๐‘ฅ^(3/2 + 1)/(3/2 + 1) +2๐‘’^๐‘ฅโˆ’logโกใ€– |๐‘ฅ|ใ€—+๐ถ = ๐‘ฅ^(5/2)/(5/2)+2๐‘’^๐‘ฅโˆ’ใ€–log ใ€—โก|๐‘ฅ|+๐ถ = ใ€–๐Ÿ๐’™ ใ€—^(๐Ÿ“/๐Ÿ)/๐Ÿ“+๐Ÿ๐’†^๐’™โˆ’ใ€–๐’๐’๐’ˆ ใ€—โก|๐’™|+๐‘ช As โˆซ1โ–’๐‘ฅ^๐‘› ๐‘‘๐‘ฅ=๐‘ฅ^(๐‘› + 1)/(๐‘› + 1) +๐ถ โˆซ1โ–’๐‘’^๐‘ฅ ๐‘‘๐‘ฅ=๐‘’^๐‘ฅ +๐ถ โˆซ1โ–’1/๐‘ฅ ๐‘‘๐‘ฅ=logโกใ€– |๐‘ฅ|ใ€— +๐ถ

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.