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用定积分表示直线y=2x与抛物线y=3-x^2在(2,3)上围城成的面积
人气:222 ℃ 时间:2019-11-15 07:05:01
解答
The required area is
∫[2,3] [2x-(3-x²)] dx
= ∫[2,3] (x²+2x-3) dx
= [x³/3+x²-3x] [2,3]
= [3³/3+3²-3*3]-[2³/3+2²-3*2]
= 25/3
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