The value of `int((1+logx))/sqrt((x^x)^2-1)dx` is (A) `sec^-1(x^x)+c` (B) `tan^-1(x^x)+c` (C) `log(x+sqrt((x^x)^2-1))+c` (D) none of these

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

int(dx)/(x^(2)+2x+2) equals (A) x tan^(-1)(x+1)+C (B) tan^(-1)(x+1)+C

sin(cot^(-1)(tan(cos^(-1)x))) is equal to a x b sqrt(1-x^(2)) c) (1)/(x) d) none of these

the value of int x*(ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx

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(x+sinx)/(1+cosx)dx= (A) xtan(x/2)+c (B) log(1-cosx)+c (C) (tan(x/2))/2+c (D) none of these

The solution of (dy)/(dx)+sqrt((1-y^(2))/(1-x^(2)))=0 is (A) tan^(-1)x+cot^(1)-x=c(B)sin^(-1)x+sin^(-1)y+c(C)sec^(-1)x+cos ec^(-1)x=c(D) none of these

int{log(logx)+(1)/((logx)^(2))}dx=x {f (x)-g(x)}+C , then

int[1/logx-1/(logx)^2]dx= (A) x/logx (B) xlogx (C) logx/x (D) none of these

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