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Ex 7.8
Ex 7.8, 2
Ex 7.8, 3
Ex 7.8, 4 Important
Ex 7.8, 5 You are here
Ex 7.8, 6
Ex 7.8, 7
Ex 7.8, 8 Important
Ex 7.8, 9
Ex 7.8, 10
Ex 7.8, 11 Important
Ex 7.8, 12
Ex 7.8, 13
Ex 7.8, 14 Important
Ex 7.8, 15
Ex 7.8, 16 Important
Ex 7.8, 17 Important
Ex 7.8, 18
Ex 7.8, 19 Important
Ex 7.8, 20 Important
Ex 7.8, 21 (MCQ) Important
Ex 7.8, 22 (MCQ)
Last updated at May 29, 2023 by Teachoo
Ex 7.8, 5 ∫_0^(𝜋/2)▒cos2𝑥𝑑𝑥 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