Question 26 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 13, 2024 by Teachoo

Find ∫dx/√3 - 2x - x ²

Next: Question 27 (Choice 1) Important → Share on WhatsApp

Transcript

Question 26 Find ∫1▒𝑑𝑥/√(3 − 2𝑥 − 𝑥^2 ) ∫1▒𝑑𝑥/√(3 − 2𝑥 − 𝑥^2 ) = ∫1▒〖1/√(−(𝒙^𝟐 + 𝟐𝒙 − 𝟑) ) 𝑑𝑥〗 = ∫1▒〖1/√(−(𝑥^2 + 2𝑥 − 3 + 𝟒 − 𝟒) ) 𝑑𝑥〗 = ∫1▒〖1/√(−(𝑥^2 + 2𝑥 + 1 − 𝟒) ) 𝑑𝑥〗 = ∫1▒〖1/√(−(𝑥^2 + 2𝑥 + 1) + 𝟒) 𝑑𝑥〗 = ∫1▒〖1/√(4 − (𝑥^2 + 2𝑥 + 1) ) 𝑑𝑥〗 = ∫1▒〖1/√(2^2 − (𝑥 + 1)^2 ) 𝑑𝑥〗 = 〖𝒔𝒊𝒏〗^(−𝟏)⁡〖((𝒙 + 𝟏)/𝟐)+𝑪〗

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

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular