# Exponential and Log Function Question Help (1 Viewer)

#### alussovsky

##### Member
Hi! There's a question I've been quite confused about in the Fitzpatrick textbook:
"Calculate the area bounded by $\bg_white y=e^x$, the coordinate axes and the textbook at $\bg_white x=2$"

The working out I did:
$\bg_white Area = \int_{0}^{2} (e^x-e^2(x-1)) dx$
$\bg_white =[e^x-\frac{1}{2}x^2e^2+xe^2]2/0$
$\bg_white =e^2-1$

I shortened some of the working, but that was what I got. The answer to that question, however, is $\bg_white \frac{1}{2}e^2-1$

#### integral95

##### Well-Known Member
I think you mean $\bg_white \frac{1}{2}(e^2-1)$

Also I'm not sure how you got that integral cause the integral is suppose to be simply

$\bg_white \int_0^2 e^x \ \ dx$

#### alussovsky

##### Member
Oof, sorry, I think I got volume and area mixed up at that point, and squared y (I dunno how that mix-up happened either, lol). Anyway, it's all good now. Thanks!