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Ex 7.10, 20 The value of โˆซ_((โˆ’ ๐œ‹)/2)^(๐œ‹/2)โ–’ใ€–(๐‘ฅ^3+๐‘ฅ ๐‘๐‘œ๐‘  ๐‘ฅ+tan^5โกใ€–๐‘ฅ+1ใ€— ) ๐‘‘๐‘ฅใ€— (A) 0 (B) 2 (C) ๐œ‹ (D) 1 โˆซ_((โˆ’๐œ‹)/2)^(๐œ‹/2)โ–’ใ€– (๐‘ฅ^3+๐‘ฅ ๐‘๐‘œ๐‘  ๐‘ฅ+tan^5โกใ€–๐‘ฅ+1ใ€— ) ๐‘‘๐‘ฅใ€— Thus, our equation becomes โˆซ_((โˆ’ ๐œ‹)/2)^(๐œ‹/2)โ–’ใ€–(๐‘ฅ^3+๐‘ฅ ๐‘๐‘œ๐‘  ๐‘ฅ+tan^5โกใ€–๐‘ฅ+1ใ€— ) ๐‘‘๐‘ฅใ€— = โˆซ_0^(๐œ‹/2)โ–’ใ€–0 ๐‘‘๐‘ฅ+โˆซ_0^(๐œ‹/2)โ–’ใ€–0 ๐‘‘๐‘ฅ+โˆซ_0^(๐œ‹/2)โ–’ใ€–0 ๐‘‘๐‘ฅ+๐Ÿโˆซ_๐ŸŽ^(๐…/๐Ÿ)โ–’๐’…๐’™ใ€—ใ€—ใ€— = 2โˆซ_0^(๐œ‹/2)โ–’๐‘‘๐‘ฅ = 2 [๐‘ฅ]_0^(๐œ‹/2) = 2(๐œ‹/2โˆ’0) =๐… Thus, correct option is C

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

About the Author

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