(11)(x^((1)/(4)-4))^((1)/(2))(x^((1)/(3-c)))^((1)/(5-a))(x^((1)/(c-a)))^((1)/(c-b))=1

Prove that. (i) sqrt(x^(-1) y) .sqrt(y^(-1) z) . Sqrt(z^(-1) x) = 1 (ii) ((1)/(x^(a-b)))^((1)/(a-c)).((1)/(x^(b-c))).((1)/(x^(c-b)))^((1)/(c-b))= 1 (iii) (x^(a(b-c)))/(x^(b(a-c))) div ((x^(b))/(x^(a))) (iv) ((x^(a+b))^(2)(x^(b+c))^(2)(x^(c+a))^(2))/((x^(a)x^(b)x^(c))^(4))

Evaluate: int(dx)/(x^(2)(x^(4)+1)^((3)/(4)))(A)-(1+(1)/(x^(4)))^((1)/(4))+c(B)(1+(1)/(x^(4)))^((1)/(4))+c(C)-(1-(1)/(x^(4)))^((1)/(4))+c(D)-(1+(1)/(x^(4)))^((1)/(4))+c

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

(1)/(1+x^(a-b)+x^(a-c))+(1)/(1+x^(b-c)+x^(b-a))+(1)/(1+x^(c-a)+x^(c-b))

int (1)/( x ^(2)( x ^(4) + 1 )^((3)/(4))) dx is equal to a) -((x^4+1)/(x^4))^(1/4)+c b) -((x^4+1)/(2x))^(1/4)+c c) -((x^4+1)/(x))^(1/4)+c d) -((x^4+1)/(x^2))^(1/4)+c

int(x^(9)dx)/((4x^(2)+1)^(9)) isequa

int(x^(9))/((4x^(2)+1)^(6))dx is equal to (A) (1)/(5x)(4+(1)/(x^(2)))^(-5)+c(B)(1)/(5)(4+(1)/(x^(2)))^(-5)+c(C)(1)/(10x)(4x+1)^(-5)+c (D) (1)/(10)((1)/(x^(2))+4)^(-5)+c

(1)/(1+x^(b-a)+x^(c-a))+(1)/(1+x^(a-b)+x^(c-b))+(1)/(1+x^(a-c)+x^(b-c))

int(2e^(5x)+e^(4x)-4e^(3x)+4e^(2x)+2e^(x))/((e^(2x)+4)(e^(2x)-1)^(2))dx= a) "tan"^(-1)(e^(x))/(2)-(1)/(e^(2x)-1)+C b) "tan"^(-1)e^(x)-(1)/(2(e^(2x)-1))+C c) "tan"^(-1)(e^(x))/(2)-(1)/(2(e^(2x)-1))+C d) 1-"tan"^(-1)((e^(x))/(2))+(1)/(2(e^(2x)-1))+C

int(1)/([(x-1)^(3)(x+2)^(5)]^(1//4))dx is equal to a) 4/3((x-1)/(x+2))^(1//4)+C b) 4/3((x+2)/(x-1))^(1//4)+C c) 1/3((x-1)/(x+2))^(1//4)+C d) 1/3((x+2)/(x-1))^(1//4)+C