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/

Question 13 - ∫^𝟐𝝅 𝟎 𝒄𝒐𝒔𝒆𝒄^𝟕𝒙 𝒅𝒙 = - Maths SQP 2025 Boards - CBSE Class 12 Sample Paper for 2025 Boards

part 2 - Question 13 - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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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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