Find ∫dx/√3 - 2x - x 2

[Integration Class 12] Find: ∫ dx / √3 - 2x - x^2 (Sample Paper) - CBSE Class 12 Sample Paper for 2023 Boards
part 2 - Question 26 - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

Remove Ads
Teachoo Ā· Class 12 Explore Class 12

Transcript

Question 26 Find ∫1ā–’š‘‘š‘„/√(3 āˆ’ 2š‘„ āˆ’ š‘„^2 ) ∫1ā–’š‘‘š‘„/√(3 āˆ’ 2š‘„ āˆ’ š‘„^2 ) = ∫1▒〖1/√(āˆ’(š’™^šŸ + šŸš’™ āˆ’ šŸ‘) ) š‘‘š‘„ć€— = ∫1▒〖1/√(āˆ’(š‘„^2 + 2š‘„ āˆ’ 3 + šŸ’ āˆ’ šŸ’) ) š‘‘š‘„ć€— = ∫1▒〖1/√(āˆ’(š‘„^2 + 2š‘„ + 1 āˆ’ šŸ’) ) š‘‘š‘„ć€— = ∫1▒〖1/√(āˆ’(š‘„^2 + 2š‘„ + 1) + šŸ’) š‘‘š‘„ć€— = ∫1▒〖1/√(4 āˆ’ (š‘„^2 + 2š‘„ + 1) ) š‘‘š‘„ć€— = ∫1▒〖1/√(2^2 āˆ’ (š‘„ + 1)^2 ) š‘‘š‘„ć€— = ć€–š’”š’Šš’ć€—^(āˆ’šŸ)⁔〖((š’™ + šŸ)/šŸ)+š‘Ŗć€—

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.