Select all expressions matching the value of the definite integral int _(1)^e(x^2+1)/(x)dx (e^2+1)/(2) (e^2)/(2) i^2+1

To find the value of the definite integral , we can simplify the integrand first: Now, we can integrate term by term: Integrating each term separately, we get: Adding the two results together, we get: Therefore, the correct answer is .