`int(1)/(sqrt(n+a)+sqrt(n+b)`

int1/(sqrt(x+a)+sqrt(x+b))dx

Let T_(n)=(1)/((sqrt(n)+sqrt(n+1))(4sqrt(n)+4sqrt(n+1))) and S_(n)=sum_(r=1)^(n)T_(r) then find S_(15) .

The value of : lim_(ntooo)((1)/(sqrtn sqrt(n+1))+(1)/(sqrtn sqrt(n+2))+ (1)/(sqrtn sqrt(n +3)) + ...... +(1)/(sqrtn sqrt(2n))) is:

int1/(sqrt(x+a)+sqrt(x+b))\ dx

Evaluate: int1/(sqrt(x+a)+sqrt(x+b))\ dx

Let S=Sigma_(n=1)^(999) (1)/((sqrt(n)+sqrt(n+1))(4sqrt(n)+4sqrtn+1)) , then S equals ___________.

किसी घनात्मक पूर्णांक n के लिए यदि, (1)/(sqrt(4)+sqrt(5))+(1)/(sqrt(5)+sqrt(6)) +(1)/(sqrt(6)+sqrt(7)) +..... + (1)/(sqrt(n)+sqrt(n+1))=5 है तो n का मान क्या होगा?

underset(nrarroo)lim[(1)/(sqrtn)+(1)/(sqrt(2n))+(1)/(sqrt(3n))+...+(1)/(n)]

If both a\ a n d\ b are rational numbers, find the values of a\ a n d\ b in each of the following equalities: (sqrt(2)+\ sqrt(3))/(3sqrt(2\ )-\ 2sqrt(3))=a-b\ sqrt(6)

Statement-1: For every natural number nge2 , (1)/(sqrt(1))+(1)/(sqrt(2))+(1)/(sqrt(3))+...+(1)/(sqrt(n))gtsqrt(n) Statement-2: For every natural number nge2, sqrt(n(n+1))ltn+1