Simplify: `qr sqrt((x^(q))/(x^(r)))times rp sqrt((x^(r))/(x^(p)))times pq sqrt((x^(p))/(x^(q)))`

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

((x^(p))/(x^(q)))^((p+q))((x^(q))/(x^(r)))^((q+r))((x^(r))/(x^(p)))^((r+p))

Evaluate : ((x^(q))/(x^(r )))^((1)/(qr))xx((x^(r ))/(x^(p)))^((1)/(rp))xx((x^(p))/(x^(q)))^((1)/(pq))

int (dx)/((x-p)sqrt((x-p)(x-q)))

int dx/((x-p)sqrt((x-p)(x-q)) =

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

lim_(x rarr0)(sqrt(x^(2)+q^(2))-q)/(sqrt(x^(2)+p^(2))-p)

x^(p-q).x^(q-r).x^(r-p)

The value of (x^(q)/x^(r))^(1/(qr)) xx (x^(r)/x^(p))^(1/(rp)) xx (x^(p)/x^(q))^(1/(pq) is equal to:

Evaluate: int(dx)/((x-p)sqrt((x-p)(x-q)))