" (iii) "log(sqrt(x-2)+sqrt(x-3))

log(sqrt(x)+1/sqrt(x))

Find the derivatives w.r.t. x : log(sqrt(x-2)+sqrt(x-3))

y=log[sqrt(x-a)+sqrt(x-b)]

Y=log(4/(sqrt(x+2)+sqrt(2-x)))

Solve : (log_(2)(x-4)+1)/(log_(sqrt2)(sqrt(x+3)-sqrt(x-3))) = 1 .

(1+log_(2)(x-4))/(log_(sqrt(2))(sqrt(x+3)-sqrt(x-3)))=1

Solve: (log)_(3)(sqrt(x)+|sqrt(x)-1|)=(log)_(9)(4sqrt(x)-3+4|sqrt(x)-1)

Solve: (log)_3(sqrt(x)+|sqrt(x)-1|)=(log)_9(4sqrt(x)-3+4|sqrt(x)-1|)

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C