∫上限π/2下限0 sin^3 xdx

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∫上限π/2下限0 sin^3 xdx
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∫上限π/2下限0 sin^3 xdx
∫上限π/2下限0 sin^3 xdx

∫上限π/2下限0 sin^3 xdx
∫(0到π/2) sin³x dx
= ∫(0到π/2) sin²x d(-cosx)
= ∫(0到π/2) (cos²x-1) d(cosx)
= (1/3*cos³x-cosx)[0到π/2]
= (0-0)-(1/3-1)
= 2/3