2025-12-30 16:10
另X=sint,则-π/2≤t≤π/2,dx=costdt
原式=∫cost*costdt(下限-π/2,上限π/2)=∫(cos2t+1)/2dt(下限-π/2,上限π/2)=
[1/4*sin2t+t/2](下限-π/2,上限π/2)=(1/4sinπ+π/4)-(1/4sin-π+(/π/4))=π/2
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