Chapter 7 Class 12 Integrals
Concept wise

Ex 7.10, 20 (MCQ) - Value of (x3 + x cos x + tan5 x + 1) dx - Ex 7.10

part 2 - Ex 7.10, 20 (MCQ) - Ex 7.10 - Serial order wise - Chapter 7 Class 12 Integrals

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Transcript

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

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