Question: Consider the integral I = sin 2 x cos 2 x dx. a. Find I using the identity sin 2x = 2 sin x cos

Consider the integral I = ∫sin2 x cos2 x dx.

a. Find I using the identity sin 2x = 2 sin x cos x.

b. Find I using the identity cos2 x = 1 - sin2 x.

c. Confirm that the results in parts (a) and (b) are consistent and compare the work involved in each method.

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