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

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.