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Integrate the functions.
sin (ax + b) cos (ax + b)
sin (ax + b) cos (ax + b) =
Let 2(ax+b) = t
⇒ 2adx = dt
⇒
=
sin x sin (cos x)
tan2 (2x – 3)
sec2 (7 – 4x)
cot x log sin x
equals