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emilyoo
 3 years ago
simple integration by substitution:
65sin(2x)
emilyoo
 3 years ago
simple integration by substitution: 65sin(2x)

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AravindG
 3 years ago
Best ResponseYou've already chosen the best response.0because derivative of sinx (ie cos x ) is readily available!

wio
 3 years ago
Best ResponseYou've already chosen the best response.4you don't even need to use that trig identity by the way.

wio
 3 years ago
Best ResponseYou've already chosen the best response.4just let \(u=2x\) in the original integral, it'd work fine.

klimenkov
 3 years ago
Best ResponseYou've already chosen the best response.1\(\int (65\cdot2\sin x \cos x)dx=\int6dx10\int\sin x \cos xdx\). Try to make a substitution \(t=\sin x,\quad dt=\cos x\). Good luck.

AravindG
 3 years ago
Best ResponseYou've already chosen the best response.0@wio'smethod is the simplest :)

wio
 3 years ago
Best ResponseYou've already chosen the best response.4\[ \int \sin(2x)dx = \int \sin(u)\frac{ du}{2} \]
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