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积分题,谢谢 5
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x=2-cosθ dx=sinθdθ
∫√(x-1)/(3-x)dx x积分物虚雀区间[1.5,2]
=∫√((1-cosθ)/1+cosθ))sinθdθ
=∫((1-cosθ)/sinθ)sinθdθ
=∫(1-cosθ)dθ
=θ+sinθ -------x=2-cosθ x积罩早分区间[1.5,2] ,θ积分区间为[π/誉埋3,π/2]
=1+π/6-√3/2
∫√(x-1)/(3-x)dx x积分物虚雀区间[1.5,2]
=∫√((1-cosθ)/1+cosθ))sinθdθ
=∫((1-cosθ)/sinθ)sinθdθ
=∫(1-cosθ)dθ
=θ+sinθ -------x=2-cosθ x积罩早分区间[1.5,2] ,θ积分区间为[π/誉埋3,π/2]
=1+π/6-√3/2
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