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∫[-1,-3][1/(x^2+4x+5)]dx定积分
人气:367 ℃ 时间:2020-06-03 19:13:17
解答
∫[-1,-3][1/(x^2+4x+5)]dx
=∫[-1,-3][1/[(x+2)²+1]d(x+2)
=arctan(x+2)[-1,-3]
是不是-1是上限?
=arctan1-arctan(-1)
=2arctan1
=π/2是下限哦,那就是相反数
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