Solve
`(sqrt(x-1)-q-r)/(p)+(sqrt(x-1)-r-p)/(q)+(sqrt(x-1)-p-q)/(r)=3`

sqrt(x^(p-q))sqrt(x^(q-r))sqrt(x^(r-p))=1

Solve x^(2)+x(r-q)-(p-r)(p-q)=0

The value of sqrt(p^(-1)q).sqt(q^(-1)r).sqrt(r^(-1) p) is

sin^(-1)(sqrt((x-q)/(p-q)))=cos^(-1)(sqrt((p-x)/(p-q)))=cot^(-1)(sqrt((p-x)/(x-q)))

If I=int(sin x+sin^(3)x)/(cos2x)dx=P cos x+Q log|f(x)|+R then (a)P=(1)/(2),Q=-(3)/(4sqrt(2))(b)P=(1)/(4),Q=(1)/(sqrt(2)) (c) f(x)=(sqrt(2)cos x+1)/(sqrt(2)cos x-1)(d)f(x)=(sqrt(2)cos x-1)/(sqrt(2)cos x+1)

[((a)/(b))^(sqrt(p)+sqrt(q))]^(sqrt(p)-sqrt(q))[((a)/(b))^(sqrt(q)+sqrt(r))]^(sqrt(q)-sqrt(r))[((a)/(b))^(sqrt(r)+sqrt(p))]^(sqrt(r)-sqrt(p))

The lines (p-q)x+(q-r)y+(r-p)=0(q-r)x+(r-p)y+(p-q)=0,(x-p)x+(p-q)y+(q-r)=

If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)"than :"q=

(i) (a^(p+q))^(p-q) (a^(q+r))^(q-r)(a^(r+p))^(r-p) (ii) [(a/b)^(sqrt(p)+sqrt(q))]^(sqrt(p)-sqrt(q))[(a/b)^(sqrt(q)+sqrt(r))]^(sqrt(q)-sqrt(r)) [(a/b)^(sqrt(r)+sqrt(p))]^(sqrt(r)-sqrt(p))