Question

高数，怎么转化的，求大神么帮忙

Answer 1

(2)
y=(1-x)/(1+x) ==> y(1+x)=1-x
==> y+yx=1-x
==> yx+x=1-y
==> (y+1)x=1-y
==> x=(1-y)/(y+1)
(3)
y=(ax+b)/(cx+d)
==> y(cx+d)=ax+b
==> ycx+yd=ax+b
==> ycx-ax=b-yd
==> (yc-a)x=b-yd
==> x=(b-yd)/(yc-a)

Answer 2

e^-∫1/(x-2)dx
=e^-ln(x-2) = 1/(x-2)
∫2(x-2)² e^-∫1/(x-2)dx dx + C
=∫2(x-2)² × 1/(x-2) dx + C
= ∫2(x-2)dx + C
=(x-2)²+C

因为上述积分都是最基本的积分，直接套用公式可以口算出来的，所以题目没有一一展开写，而是直接写出结果。

追问

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