`intdx/(sqrt(x)(1+x^2)^(5/4))=` (A) `(2x)/(1+x^2)^(1/4)+c` (B) `(2sqrt(x))/(1+x^2)^(1/4)+c` (C) `(2sqrt(x))/(1+x^2)+c` (D) none of these

intdx/(x^2sqrt(1+x^2))

intdx/(x^2sqrt(x^2-1))

intdx/((x-1)^(3/4)(x+2)^(5/4))= (A) 4/3((x-1)/(x+2))^(1/4)+c (B) 4/3sqrt((x-1)/(x+2))+c (C) 4/3((x+2)/(x-1))^(1/4)+c (D) none of these

The solution of (1-x^2) dy/dx+2xy-xsqrt(1-x^2)=0 , is (A) y/((1-x^2))=1/sqrt(1-x^2)+C (B) y(1-x^2)=sqrt(1-x^2)+C (C) y(1-x^2)^(3/2)=sqrt(1-x^2)+C (D) none of these

None of these int(2x)/((1-x^(2))sqrt(x^(4)-1))dx is equal to :( A) sqrt((x^(2)-1)/(x^(2)+1))+c(B)sqrt((x^(2)+1)/(x^(2)-1))(C)sqrt(x^(4)+1)(D) None of these

int(xdx)/(sqrt((1+x^2)+sqrt((1+x^2)^3)))= (a) 1/2ln(1+sqrt(1+x^2))+c (b) 2sqrt(1+sqrt(1+x^2))+c (c) 2(1+sqrt(1+x^2))+c (d) 4sqrt(1+sqrt(1+x^2))+c

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

int(1+x^(4))/((1-x^(4))^((3)/(2)))dx is e q u a l to (1)/(sqrt(x^(2)-(1)/(x^(2))))+c (b) (1)/(sqrt((1)/(x^(2))-x^(2)))+c(1)/(sqrt((1)/(x^(2))+x^(2)))+c(d) None of these

The value of intsqrt(1+secx)dx is equal to (A) 2sin^-1(sqrt(2)sin(x/2))+c (B) 2cos^-1(sqrt(2)sin(x/2))+c (C) 2sin^-1(sqrt(2)cos(x/2))+c (D) none of these

If y=tan^(-1)sqrt((x+1)/(x-1)), then (dy)/(dx) is (-1)/(2|x|sqrt(x^(2)-1)) (b) (-1)/(2x sqrt(x^(2)-1))(1)/(2x sqrt(x^(2)-1))( d) none of these