Ex 7.8, 5 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by

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Ex 7.8, 5 ∫_0^(𝜋/2)▒cos⁡2𝑥𝑑𝑥 Let F(𝑥)=∫1▒〖𝑐𝑜𝑠 2𝑥 𝑑𝑥〗 =1/2 𝑠𝑖𝑛 2𝑥 Hence F(𝒙)=𝟏/𝟐 𝒔𝒊𝒏 𝟐𝒙 Now, ∫_0^(𝜋/2)▒〖𝒄𝒐𝒔 𝟐𝒙=𝐹(𝜋/2)−𝐹(0) 〗 =1/2 𝑠𝑖𝑛(2 × 𝜋/2)−1/2 𝑠𝑖𝑛(2 ×0) =1/2 𝑠𝑖𝑛(𝜋)−1/2 𝑠𝑖𝑛(0) =1/2 ×0−1/2 ×0 = 𝟎

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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