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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise

Transcript

Ex 7.9, 21 Choose the correct answer ∫_1^(√3)▒𝑑π‘₯/(1 + π‘₯^2 ) equals (A) πœ‹/3 (B) 2πœ‹/3 (C) πœ‹/6 (D) πœ‹/12 Let F(π‘₯)=∫1▒𝑑π‘₯/(1 + π‘₯^2 ) =tan^(βˆ’1)⁑π‘₯ Hence, F(π‘₯)=π‘‘π‘Žπ‘›^(βˆ’1) π‘₯ Now ∫_1^(√3)▒〖𝑑π‘₯/(1 + π‘₯^2 )=𝐹(√3)βˆ’πΉ(1) γ€— =tan^(βˆ’1)β‘γ€–βˆš3βˆ’tan^(βˆ’1)⁑(1) γ€— =πœ‹/3βˆ’πœ‹/4 =πœ‹/12 ∴ Option (D) is correct.

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.