(iii) find the value `(sqrtx+1/x)(x-1/sqrtx)`

If x=7-4sqrt3 then find the value of sqrtx+1/sqrtx

find the value of x [x^(x)]^(1/sqrtx)=2^sqrt2

Evaluate int (1)/(x-sqrtx) dx

If x=3-sqrt8," then find the value of "1/sqrtx-sqrtx .

y= log(sqrtx+1/sqrtx)

int (1/sqrtx-sqrtx)dx

If x is a positive real number different from 1, then prove that the numbers 1/(1+sqrtx),1/(1-x),1/(1-sqrtx),… are in A.P. Also find their common difference.

int (1+x)^3/sqrtx dx

Find (dy)/(dx) If y=(sqrtx+1)/(sqrtx-1)

Find the domain of sqrtx+sqrt(2x-1)