Ques.
Integrate the following
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given to integrate ₀∫ⁿ´⁴ (1 - cos 2x ) dx
₀∫ⁿ´⁴(1 - 2cos²x - 1)¹´²dx [ cos 2x = 2cos²x -1]
=> ₀∫ⁿ´⁴ √(2 cos²x) dx [ a¹´² = √a ]
=> ₀∫ⁿ´⁴ √2 cos x dx
=> √2 [ sin x]ⁿ´⁴₀
=> √2 [ sin π/4 - sin 0 ]
=> √2 [ 1/√2 - 0 ]
=> √2 × 1/√2
=> 1
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