`int((x^2+1))/((x+1)^2)dxi se q u a lto` `((x-1)/(x+1))e^x+c` (b) `e^x((x+1)/(x-1))+c` `e^x(x+1)(x-1)+c` (d) none of these

int(e^(x)+1)/(e^(x))dx :

int((x+2)/(x+4))^2+e^xdxi se q u a lto e^x(x/(x+4))+c (b) e^x((x+2)/(x+4))+c e^x((x-2)/(x+4))+c (d) ((2x e^2)/(x+4))+c

int(e^(x))/(e^(x)+1)dx= ……………

int(e^(tan^(-1)x))/(1+x^(2))dx

int(e^(tan^(-1)x))/(1+x^(2))dx :

If y=tan^(-1)sqrt((x+1)/(x-1)),t h e n(dy)/(dx)i s (-1)/(2|x|sqrt(x^2-1)) (b) (-1)/(2xsqrt(x^2-1)) 1/(2xsqrt(x^2-1)) (d) none of these

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

The value of int_1^e((tan^(-1)x)/x+(logx)/(1+x^2))dxi s tane (b) tan^(-1)e tan^(-1)(1/e) (d) none of these

lim_(x -> oo)(x(log(x)^3)/(1+x+x^2) equals 0 (b) -1 (c) 1 (d) none of these

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these