simple integration by substitution: 6-5sin(2x)

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simple integration by substitution: 6-5sin(2x)

Mathematics
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this is how far i got
t=sin x would do it

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Other answers:

because derivative of sinx (ie cos x ) is readily available!
you don't even need to use that trig identity by the way.
just let \(u=2x\) in the original integral, it'd work fine.
\(\int (6-5\cdot2\sin x \cos x)dx=\int6dx-10\int\sin x \cos xdx\). Try to make a substitution \(t=\sin x,\quad dt=\cos x\). Good luck.
@wio'smethod is the simplest :)
\[ \int \sin(2x)dx = \int \sin(u)\frac{ du}{2} \]

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