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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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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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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.