Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

The answer in the book is $e-1$, and but I can't figure out how to go from $x(\ln(x) - 1)$ to that answer...

share|cite|improve this question

2 Answers 2

Your area is nothing but $\displaystyle \int_{y=0}^{y=1} x dy$ where $x = e^y$. Plug this in to get the answer.

enter image description here

share|cite|improve this answer

We have the following:

$$ \int_{y=0}^{y=1} e^y \ dy$$ which is


share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.