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求定积分 ∫[-2,1] 1/(11+5x)^3dx
人气:111 ℃ 时间:2020-05-22 16:31:24
解答
∫[-2,1] 1/(11+5x)^3dx
=1/5∫[-2,1] (11+5x)^(-3)d(11+5x)
=1/5*(11+5x)^(-3+1)/(-3+1)[-2,1]
=-1/[10(11+5x)^2][-2,1]
=-[1/2560-1/10]
=51/512
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