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∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cosec2x - cot2x] + c = 1/2 log[tan x] + cDetailed derivation of∫cosec x dx = ∫cosec x(cosec x - cot x)/(cosec x - cot x) dx
= ∫(cosec2x - cosecxcotx)/(cosecx - cotx) dx
= log[cosecx - cotx] = log[(1-cosx)/sinx]
= log[2sin2(x/2)/2sin(x/2)cos(x/2)]
= log[tan(x/2)]
#questionShow that the system oscillates in simple harmonic motion demonstrated by; , for which the general solution where X = (x – x0)..
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2 of 10 =
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1 half plus 1 half
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