Question 13 - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Feb. 12, 2025 by Teachoo

This question is similar to Chapter 7 Class 12 Integrals - Ex 7.10

Please check the question here

https://www.teachoo.com/4774/726/Ex-7.11--14---Using-properties--evaluate-integral-cos5-x-dx/category/Ex-7.11/

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Transcript

Question 13 ∫_0^2𝜋 cosec^7 𝑥 𝑑𝑥= (A) 0 (B) 1 (C) 4 (D) 2𝜋 ∫_0^2𝜋▒cosec^7⁡𝑥 𝑑𝑥 = ∫_0^2𝜋▒1/sin^7⁡𝑥 𝑑𝑥 =∫_0^𝜋▒1/sin^7⁡𝑥 𝑑𝑥+∫_0^𝜋▒𝟏/〖𝒔𝒊𝒏〗^𝟕⁡〖 (𝟐𝝅 − 𝒙)〗 𝑑𝑥 =∫_0^𝜋▒1/sin^7⁡𝑥 𝑑𝑥+∫_0^𝜋▒𝟏/(−𝒔𝒊𝒏 𝒙)^𝟕 𝑑𝑥 =∫_0^𝜋▒1/sin^7⁡𝑥 𝑑𝑥−∫_0^𝜋▒1/sin^7⁡𝑥 𝑑𝑥 = 0 So, the correct answer is (A)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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