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Use the prescribed cosine substitution in a difference of squares

Use the substitution u=cos⁡2θu=\cos2\theta to find ∫sin⁡2θ4−cos⁡22θ dθ\displaystyle\int\dfrac{\sin2\theta}{4-\cos^22\theta}\,d\theta. marks

[2018/DHS/Promo/1(b)]

CJC · Review Problems · Question 9

Use du=−2 sin(2θ)dθ as a differential identity, then apply the difference-of-squares logarithm form.

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