Question 18 (OR 2nd Question) - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 16, 2024 by Teachoo

Find ∫ (cos ² ⁡ 2x - sin ² ⁡ 2x) dx

Find Integral (cos^2⁡ 2x - sin^2⁡ 2x) dx - Teachoo - CBSE Class 12 Sam

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Transcript

Question 18 (OR 2nd Question) Find ∫1 (cos2⁡ 2x - sin2⁡ 2x) dx We know that 𝑐𝑜𝑠⁡2𝑥=cos^2⁡𝑥−sin^2⁡𝑥 Therefore, 𝑐𝑜𝑠⁡4𝑥=cos^2⁡2𝑥−sin^2⁡2𝑥 So, our integration becomes ∫1 (cos^2⁡2𝑥−sin^2⁡2𝑥) dx = ∫1 cos⁡4𝑥 dx = 𝐬𝐢𝐧⁡𝟒𝒙/𝟒+𝑪

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