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Ryan Gross · Answer 1 · 2017-09-16T01:52:40+0000

I guess when you say antiderivative you mean integral because integral is opposite of derivative.
∫3sinxcosxdx = 3∫sinxcosxdx now we take that replacement: sinx = t
now we derivative
cosxdx = dt

3∫tdt = 3(t^2)/2

The answer is
(3)/(2) * t^(2)

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