[int(dx)/(1+e^(x))=],[" (a) "log(1+e^(x))," (b) "-log(1+e^(-x))],[" (c) "-log(1-e^(-x))," (d) "log(e^(-x)+e^(-2x))]

int(1)/(1+e^(x))dx= (a) log(1+e^(x)) (b) log((1+e^(x))/(e^(x))) (c) log(1+e^(-x)) (d) -log(e^(-x)+1)

int log(e^(x)+1)(e^(x))dx

Choose the correct answers int(dx)/(e^x+e^(-x)) is equal to(A) tan^(-1)(e^x)+C (B) tan^(-1)(e^(-x))+C (C) log(e^x-e^(-x))+C (D) log(e^x+e^(-x))+C

(d)/(dx)[log((e^(4x))/(1+e^(4x)))]

Choose the correct answers int(dx)/(e^x+e^(-x)) is equal to (A) tan^(-1)(e^x)+C (B) tan^(-1)(e^(-x))+C (C) log(e^x-e^(-x))+C (D) log(e^x+e^(-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

int( d x)/(e^x+e^(-x)) is equal to a) tan ^(-1)(e^x)+C b) tan ^(-1)(e^-x)+C c) log (e^x-e^-x)+C d) log (e^x+e^-x)+C

" (i) "int e^(x)[e^(log x)+1]dx

int _(1) ^(e ) (dx )/(ln (x ^(x) e ^(x)))

The value of int _(0) ^(1) (dx)/(e ^(x) + e ) is equal to a) (1)/(e) log ((1 + e )/(2)) b) log ((1 + e )/(2)) c) 1/e log (1 + e) d) log ((2)/(1 + e ))