[積分] 三題變數代換法積分問題
1 -1 (x^6-4)^1/2
1.∫-------- dx Ans: 1/6‧tan [-------] + c
x(x^6-4)^(1/2) 2
x
2.∫ x^(-1/3)‧(x+1)^(-5/3) dx Ans: 3/2(--)^(2/3) + c
x+1
dx
3.∫------------, if x > 0 Ans:[3-(2/x)-1/(x^2)]^(1/2)
(x^2)‧(3x^2-2X-1)^(1/2)
-1
+ sin [(1+x)/2x] + c + sin
--
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