Question

Quick question what is the antiderivative of 3sinxcosx?

Answer 1

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)`