(1)/(sqrt(3x^(2)+5x+7))

Evaluate the following: int frac{1}{sqrt (3 x^2 +5x +7)} dx

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .

Evaluate: int(5x^(3)+2x^(-5)-7x+(1)/(sqrt(x))+(5)/(x))dx

Evaluate: int(5x^(3)+2x^(-5)-7x+(1)/(sqrt(x))+(5)/(x))dx

If n be the degree of the polynomial sqrt(3x^(2)+1){(x+sqrt(3x^(2)+1))^(7)-(x-sqrt(3x^(2)+1))^(7)} then n is divisible by

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 is :

Factorise: (i) 4sqrt(3)x^(2) + 5x-2sqrt(3) (ii) 7sqrt(2)x^(2)-10x - 4sqrt(2)

lim_ (x rarr oo) (sqrt (3x ^ (2) +1) -sqrt (2x ^ (2) -3x + 5)) / (7x + 2) =

which of the following expressions are polynomials ? Justify your answere, (i) 8 (ii) sqrt(3x)^(2)-2x (iii) 1-sqrt(5x) (iv) (1)/(5x^(-2))+5x+7 (v) ((x-2)(x-4))/(x) (vi) (1)/(x+1) (vii) (1)/(7)a^(3)-(2)/(sqrt(3))a^(2)+4a-7 (viii) (1)/(2x)