Question

Which of the following integrals represents the area of the region bounded by x = e and the functions f(x) = ln(x) and g(x) = log1/e(x)?

Answer 1

i am lost\[\log_{\frac{1}{e}}(x)=-\log(x)\]

Answer 2

all i know is that it cannot be the first or third, since \(\log(0)\) is undefined, as is \(\log(-1)\)

Answer 3

http://www.wolframalpha.com/input/?i=log_%281%2Fe%29%28x%29,+log%28x%29+domain+1...e

Answer 4

guess you should go with the last one

Answer 5

which is really just \[2\int_1^e\log(x)dx\]

Answer 6

hmm yeah il put that one and ask my teacher abt it thank you!

Answer 7

yw