Question

Is there a way to get wolfram to show area of region? Trying to figure out how to use it.

Answer 1

http://www.wolframalpha.com/input/?i=%28area+of%29+x+greater+than+or+equal+to+-4%2C+0+less+than+or+equal+to+y+less+than+or+equal+to+e%5E%28-x%2F2%29

Answer 2

Does not look promising...
is this an integral problem?

Answer 3

Well, yes and no. Here is all I know.

Answer 4

Along with choices

Area = 14.79

Area = 14.77

Area = 14.78

Area = 14.98

Answer 5

then do
\[ \int_{-4}^\infty e^{-\frac{x}{2}} \ dx\]
if you know how

do you know calculus?

Answer 6

For real? Is that it? I was so overcomplicating this. I can do that.

Answer 7

2e^2

Answer 8

let u = -x/2
du = -dx/2
so dx = -2 du
u goes from -(-4)/2 = 2
to u = -infinity/2 = -infinity
thus
\[ - 2 \int_2^{-\infty} e^u \ du \]
or if we negate the integral we can swap the order of the integrand
\[ 2 \int_{-\infty}^2 e^u \ du = 2 e^u \bigg|_{-\infty}^2= 2e^2 - 0= 2 e^2\]

Answer 9

Phi, you are a lifesaver. Thanks a million.