`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`

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

If x^(-2)=64, then x^((1)/(3))+x^(0)=2(b)3(c)(3)/(2) (d) (2)/(3)

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

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 sqrt (1 + x ^(2)). x dx = (1)/(3) (1 + x ^(2)) ^((3)/(2)) + c

int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))dx is equal to (A) (1)/(3)(x+(1)/(x))^(3)+C (B)(2)/(5)(x+(1)/(x))^(5/2)

int(sqrt(x))/((1+x^(2))^((7)/(4)))dx=(A)(2)/(3)(x^((3)/(2)))/((x^(2)+1)^((3)/(4)))+C(B)(1)/(3)(x^((3)/(2)))/((x^(2)+1)^((3)/(4)))+C(C)(1)/(2)(x^((1)/(2)))/((x^(2)+1)^((3)/(4)))+C(D)(x^((3)/(2)))/((x^(2)+1)^((3)/(4)))+C

int(1)/(x(x^((3)/(2))+1))dx=(2)/(3)log((x^((3)/(2)))/(x^((3)/(2))+1))+c

int(cos x)/(cos((x)/(2))+sin((x)/(2)))^(5)dx=,[[" (A) "(2)/(3)(cosec((x)/(2))+sec((x)/(2)))^(3)+c," (B) "(2)/(3)(cos((x)/(2))+sin((x)/(2)))^(3)+c],[" (C) "(2)/(3)(sin((x)/(2))-cos((x)/(2)))^(-3)+c," (D) "-(2)/(3)(sin((x)/(2))+cos((x)/(2)))^(-3)+c]]

int(cos x)/([cos((x)/(2))+sin((x)/(2))]^(5))dx= 1) (2)/(3)[cosec((x)/(2))+sec((x)/(2))]^(3) 2) (2)/(3)[cos((x)/(2))+sin((x)/(2))]^(3)+C 3) (2)/(3)[sin((x)/(2))-cos((x)/(2))]^(3)+c 4) -(1)/(3)[sin((x)/(2))+cos((x)/(2))]^(-3)