" 18.(ii) "(x^(x))sqrt(x)

int x^(2)sqrt(x+2)dx(ii)int(x^(2))/(sqrt(x-1))dx

Prove that the following equations has no solutions. (i) sqrt((2x+7))+sqrt((x+4))=0 (ii) sqrt((x-4))=-5 (iii) sqrt((6-x))-sqrt((x-8))=2 (iv) sqrt(-2-x)=root(5)((x-7)) (v) sqrt(x)+sqrt((x+16))=3 (vi) 7sqrt(x)+8sqrt(-x)+15/(x^(3))=98 (vii) sqrt((x-3))-sqrt(x+9)=sqrt((x-1))

Evaluate: (i) int(5x+3)sqrt(2x-1)dx (ii) int(x)/(sqrt(x+a)-sqrt(x+b))dx

Differentiate (i) sqrt((1+x)/(1-x)) , (ii) (x)/(sqrt(1-x^(2)))

(i) int (dx)/(x sqrt(x^2-1)) (ii) int (dx)/(x sqrt(ax -x^2))

Evaluate : (i) int(dx)/(1+sqrt(x)) (ii) int(x+sqrt(x+1))/(x+2)dx

(i) int (dx)/sqrt(x(1-2x)) (ii) int (dx)/sqrt(2x-x^2)

Find the term independent of x (constant term) in the following expansion: (i) (x^(2)-(1)/(3x))^(9) " "(ii) (x-(1)/(x))^(10) (iii) (3x-(2)/(x^(2)))^(18) " "(iv) (1)/(x^(n))(1+x)^(2n) (V)(3sqrt(x)+(1)/(2(3sqrt(x))))^(18)" "(vi)((3x^(2))/(2)-(1)/(3x))^(6)

Differentiate the following function : (i) (x^(2) - 5x + 6)(x-3) , (ii) (sqrt(x) + 1/(sqrt(x)))^(2) , (iii) (3x^(2) + 2x + 5)/(sqrt(x))