`int1/(y(1-ay))`dy

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int (1)/(y (1-ay)) dy

int1/sqrt(1-y^2)dy

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y=int(x+1)/(xy)dy

int 1/(sqrt (1-y^2)) dy

lim_(x rarr0x rarr a))(int_(0)^(1)(by+a(1-y))^(x)dy)^((1)/(x)) (where

int (1-y)/y^2 dy

The integrating factor of the fifferential equation (1-y^(2))(dy)/(dx)+yx=ay(-1 lt y' lt 1) is

int(1)/(sqrt(1-y^(2)))dy