Chapter 7 Class 12 Integrals
Concept wise

Ex 7.8, 5 - Chapter 7 Class 12 Integrals

Last updated at Dec. 16, 2024 by

Ex 7.8, 5 Class 12 - Integrate cos 2x dx from 0 to 𝜋/2 - Teachoo - Ex 7.8

part 2 - Ex 7.8, 5 - Ex 7.8 - Serial order wise - Chapter 7 Class 12 Integrals

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Transcript

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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