Question

Simplify (by writing as a single natural logarithm):

x*lne^(1+x)+lne^(1-x)

Answer 1

x * lne^(1+x) + lne^(1-x)

= x(1+x) + (1-x)                                                    (Since lne^(1+x) =1+x and lne^(1-x))

= (x+x^2) + (1-x)

= x^2 + 1

Answer : x * lne^(1+x) + lne^(1-x) = x^2 + 1.