Ex 7.9, 5 - Direct Integrate cos 2x dx from 0 to x/2 - Ex 7.9

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex7.9, 5 0﷮ 𝑥﷮2﷯﷮ cos﷮2𝑥𝑑𝑥﷯﷯ Step 1 :- F 𝑥﷯= ﷮﷮𝑐𝑜𝑠 2𝑥 𝑑𝑥﷯ = 1﷮2﷯𝑠𝑖𝑛 2𝑥 Hence F 𝑥﷯= 1﷮2﷯𝑠𝑖𝑛 2𝑥 Step 2 :- 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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