Question

Definite Integrals anyone?lol

Answer 1

\[\int\limits_{1}^{e}\left( x- 1/x\right)dx\]

Answer 2

is it\[\int\limits_{1}^{e}\frac{x-1}{x}dx\]?

Answer 3

oh sorry no its x - (1/x)

Answer 4

e^2/2-Ln(e)-1/2+Ln(1)

Answer 5

\[\int\limits\limits_{1}^{e}(x-\frac{1}{x})dx\]\[\int\limits{x-\frac{1}{x}dx}=\int\limits{xdx}-\int\limits{\frac{1}{x}dx}=\frac{x^2}{2}-\ln|x|\]
when u evaluate it from 1 to e\[(\frac{e^2}{2}-\ln(e))-(\frac{1}{2}-\ln(1))\]

Answer 6

\[=\frac{e^2}{2}-1-\frac{1}{2}-0\]

Answer 7

see thats what i got but the book has (e^2 - 3)/2 maybe wrong?

Answer 8

thats the same when u simplify it\[\frac{e^2}{2}-\frac{2}{2}-\frac{1}{2}=\frac{e^2}{2}-\frac{3}{2}=\frac{1}{2}(e^2-3)\]

Answer 9

ohhh ok thank you lalaly

Answer 10

:D:D