Problem: `int(dx)/(sqrt(x)+sqrt(x-2))=`
(a) `(1)/(3)[x^(3/2)-(x-2)^(3/2)]+c,`
(b) `(2)/(3)[x^(3/2)-(x-2)^(3/2)]+c`
(c) `(1)/(3)[(x-2)^(3/2)-x^(3/2)]+c,`
(d) `(2)/(3)[(x-2)^(3/2)-x^(3/2)]+c`

Evaluate int ((8x+13)/sqrt(4x+7)) dx (A) 1/3 (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c (B) 1/6 (4x+7)^(5/2) - 2/3 (4x+7)^(3/2) + c (C) 1/3 (4x+7)^(5/2) - 1/2 (4x+7)^(3/2) + c (D) (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c

Evaluate int(x+2)/((x^2+3x+3)sqrt(x+1))+C

Evaluate int(x+2)/((x^2+3x+3)sqrt(x+1))+C

The anti derivative of (sqrt(x)+1/(sqrt(x))) equals(A) 1/3x^(1/3)+2x^(1/2)+C (B) 2/3x^(2/3)+1/2x^2+C (C) 2/3x^(3/2)+2x^(1/2)+C (D) 3/2x^(3/2)+1/2x^(1/2)+C

int(x^3dx)/(sqrt(1+x^2)) is equal to (A) 1/3sqrt(1+x^2)(2+x^2)+C (B) 1/3sqrt(1+x^2)(x^2-1)+C (C) 1/3(1+x^2)^(3/2)+C (D) 1/3sqrt(1+x^2)(x^2-2)+C

int(2x^2+3)sqrt(x+2)\ dx (ii) int(x^2+3x+1)/((x+1)^2)\ dx

If x^(xsqrt(x))=(x sqrt(x))^(x) ,then x=? (A) 1/2 (B) 3/4 (c) 9/4 (D) 3/2

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

int(x^3dx)/(sqrt(1+x^2))i se q u a lto 1/3sqrt(1+x^2)(2+x^2)+C 1/3sqrt(1+x^2)(x^2-1)+C 1/3(1+x^2)^(3/2)+C (d) 1/3sqrt(1+x^2)(x^2-2)+C

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