" 7."(x+(1)/(x))(sqrt(x)+(1)/(sqrt(x)))

If y=sqrt(x)+(1)/(sqrt(x)), prove that 2x(dy)/(dx)=sqrt(x)-(1)/(sqrt(x))

If x=(1)/(2)(sqrt(7)+(1)/(sqrt(7))) ,then , log_(27)((sqrt(x^(2)-1))/(x-sqrt(x^(2)-1))) is equal to

(7) int(1)/(sqrt(x+x sqrt(x)))dx

If a>1, then the value of lim_(x rarr oo)(a^(sqrt(x))-a^(sqrt((1)/(x))))/(a^(sqrt(x))+a^(sqrt(x))) is

If y=sec^(-1)((sqrt(x-1))/(x+sqrt(x)))+sin^(-1)((x+sqrt(x))/(sqrt(x-1))) , then (dy)/(dx)= ……………

If y=sqrt(x)+1/(sqrt(x)) , prove that 2x(dy)/(dx)=sqrt(x)-1/(sqrt(x))

find x: (sqrt(x+1)+sqrt(x-1))/(sqrt(x+1)-sqrt(x-1))=3/7

If x>1 and (sqrt(x+1)+sqrt(x-1))/(sqrt(x+1)-sqrt(x-1))=2 then x

Evaluate : int_(1)^(5)(sqrt(x+1))/(sqrt(x+1)+sqrt(7-x))dx.

(1)/(sqrt(x)+sqrt(x+1))+(1)/(sqrt(x+1)+sqrt(x+2))+(1)/(sqrt(x+2)+sqrt(x+3))+...(1)/(sqrt(x+98)+sqrt(x+99))