If `f((3t-4)/(3t+4))=t+2` then `int f(x)dx=` (A) `e^(x-2)log((3x-4)/(3x+4))` (B) `-8/3log|1-x|+2x/3+c` (C) `8/3log|1-x|+x/3+c` (D) `e^(x+2)log|(1+x)/(1-x)|+c`

int frac{dx}{1+e^(-x)} =........... A) log(1+e^(-x)) + c B) log(e^x + 1)) + c C) log(1-e^(-x)) + c D) log(e^(x)) + c

If log_(3){5+4log_(3)(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) log_(2)16

If f(x)=log[e^(x)((3-x)/(3+x))^(1//3)] then f'(1) is equal to a) (3)/(4) b) (2)/(3) c) (1)/(3) d) (1)/(2)

If int (1)/(4 + 5 sin x) " dx "= (1)/(3) log |f (x)| + c then f(x) =

int (2x ^ (3) + 3x ^ (2) + 4x + 5) / (2x + 1) dx equls to: (A) (x ^ (3)) / (2) + (x ^ (2)) / (2) +3 (x) / (2) + (7) / (4) ln (2x + 1) + C (B) 5 (x ^ (3)) / (2) + 6 (x) / (2) + (7) / (4) ln (2x + 1) + C (C) 3 (x ^ (3)) / (2) + 3 (x ^ (2)) / (2) + (7 ) / (4) ln (2x + 1) + C (D) (x ^ (2)) / (2) + 3 (x) / (2) + (7) / (4) ln (2x + 1) + C

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16