Question

evaluate this integral
∫x-1/x dx

Answer 1

\[\int \frac{x-1}{x}dx\]
is that it?

Answer 2

yup :)

Answer 3

\[\int \frac{x-1}{x}dx \implies \int \frac{x}{x}dx - \frac{1}{x}dx \implies \int dx - \int \frac 1x dx\]
does that help?

Answer 4

maybe i should write it more beautifully
\[\int dx - \int \frac{dx}{x}\]
heh

Answer 5

the answer will be -In|x| ?

Answer 6

that's just \[-\int \frac{dx}{x}\]

Answer 7

what about \[\int dx\]

Answer 8

doesnt x/x cancel out ?

Answer 9

it becomes 1

Answer 10

do \[\int \frac xxdx \implies \int dx\]

Answer 11

so*

Answer 12

oh okay got it! thank you :)

Answer 13

also dont forget +C

Answer 14

since it's indefinite integral

Answer 15

oh yeah