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 Oct. 3, 2024 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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