Ex 7.9, 21 (MCQ) - Chapter 7 Class 12 Integrals (Term 2)
Last updated at Aug. 9, 2021 by Teachoo
Transcript
Ex 7.9, 21 Choose the correct answer β«_1^(β3)βππ₯/(1 + π₯^2 ) equals (A) π/3 (B) 2π/3 (C) π/6 (D) π/12 Let F(π₯)=β«1βππ₯/(1 + π₯^2 ) =tan^(β1)β‘π₯ Hence, F(π₯)=π‘ππ^(β1) π₯ Now β«_1^(β3)βγππ₯/(1 + π₯^2 )=πΉ(β3)βπΉ(1) γ =tan^(β1)β‘γβ3βtan^(β1)β‘(1) γ =π/3βπ/4 =π/12 β΄ Option (D) is correct.
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