`(1)/(sqrt(x+a)+sqrt(x+b))`

If int_(0)^(1)(1)/(sqrt(3+x)+sqrt(1+x))dx=a+b sqrt(2)+c sqrt(3) ,where a,b,c are rational numbers, then 2a+3b-4c , is equal to:

(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))

If int_(0)^(b)(1)/(sqrt(1+x)-sqrt(x))dx=(2)/(3)(2sqrt(2)) , then b =

(1)/(sqrt(x))(sqrt(x)-(1)/(sqrt(x)))^(3)

Solve (sqrt(x)+1+sqrt(x)-1)/(sqrt(x)+1-sqrt(x)-1)

If y=sqrt((a-x)(x-b))-(a-b)tan^(-1)((sqrt(a-x))/(sqrt(x-b))) then (dy)/(dx)=

where c is the constant of integration and m,n in N ,the find the valuc of (m+n). If int(dx)/(1+sqrt(x+1)+sqrt(x))=ax+b sqrt(x)+c int sqrt((x+1)/(x))dx where a,b,care constant,then find the value of (a+b+c)

If 0

If intsin^(-1)(sqrt(x)/sqrt(x+1))dx=A(x)tan^(-1)sqrt(x)+B(x)+C then A(x) and B(x) will be

If a,b are real and a^(2)+b^(2)=1, then show that the equation (sqrt(1+x)-i sqrt(1-x))/(sqrt(1+x)+i sqrt(1-x))=a-ib is satisfied y a real value of x.