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原式 = ∫<-π/2, π/2>cosxdx/[1+(sinx)^2] + ∫<-π/2, π/2>xcosxdx/[1+(sinx)^2]
= 2∫<0, π/2>cosxdx/[1+(sinx)^2] + 0
= 2∫<0, π/2>dsinx/[1+(sinx)^2] = 2[arctan(sinx)]<0, π/2>
= 2π/4 = π/2
= 2∫<0, π/2>cosxdx/[1+(sinx)^2] + 0
= 2∫<0, π/2>dsinx/[1+(sinx)^2] = 2[arctan(sinx)]<0, π/2>
= 2π/4 = π/2
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