
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Ex 7.8
Ex 7.8, 2
Ex 7.8, 3
Ex 7.8, 4 Important
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Ex 7.8, 8 Important
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Ex 7.8, 11 Important
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Ex 7.8, 18
Ex 7.8, 19 Important
Ex 7.8, 20 Important
Ex 7.8, 21 (MCQ) Important You are here
Ex 7.8, 22 (MCQ)
Last updated at May 29, 2023 by Teachoo
Ex 7.8, 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.