计算定积分:§0-4 dx/(1+根号x)

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计算定积分:§0-4dx/(1+根号x)计算定积分:§0-4dx/(1+根号x)计算定积分:§0-4dx/(1+根号x)§0-4dx/(1+根号x)u=根号x,u^2=x,dx=2udu,x=0,u=

计算定积分:§0-4 dx/(1+根号x)
计算定积分:§0-4 dx/(1+根号x)

计算定积分:§0-4 dx/(1+根号x)
§0-4 dx/(1+根号x) u = 根号x,u^2 = x,dx = 2udu,x = 0,u = 0,x = 4,u = 2
§0-4 dx/(1+根号x)
= §0-2 1/(1+u) *2udu
= §0-2 (2 - 2/(1+u)) du
= [2u - 2ln(1+u)] _0-2
= 4 - 2ln3

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