" (xi) "(1)/(sqrt(3x+7))-(1)/(sqrt(7-3x))

If y= (1)/(sqrt( 3x+ 7) )- (1)/(sqrt(7-3x) ),then (dy)/(dx) =

Prove that (i) (1)/(3+sqrt(7)) + (1)/(sqrt(7)+sqrt(5))+(1)/(sqrt(5)+sqrt(3)) +(1)/(sqrt(3)+1)=1 (ii) (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+(1)/(sqrt(4)+sqrt(5))+(1)/(sqrt(5)+sqrt(6))+(1)/(sqrt(6)+sqrt(7)) +(1)/(sqrt(7)+sqrt(8))+(1)/(sqrt(8) + sqrt(9)) = 2

If 0

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

int(1)/(sqrt(1-(3x-7)^(2)))

int_(0)^(7)(1)/(sqrt(4+3x))dx=

Show that int_(3)^(4)(sqrt(x))/(sqrt(7-x)+sqrt(x))dx=(1)/(2)

The expression (1)/( sqrt( 3x +1)) [ ( ( 1+ sqrt( 3x + 1))/(2))^(7) - (( 1- sqrt ( 3x +1))/(2))^(7)] is a polynomial in x of degree eual to

Find x if (sqrt(3x +1) + sqrt(3x - 6))/(sqrt(3x + 1) - sqrt(3x - 6)) = 7