Question

my integrating skills are getting rusty :(
what is the integral of y/x?? or is that even posible?
ive checked an online integrating calculator
and...
∫f(x,y)dx= ln(x)⋅y this is the result?
can anyone confirm??

Answer 1

Isn't that y will be treated as constant, when your integrand is dx?

Answer 2

Yeah.

Answer 3

\[\int \frac{y}{x}dx\] Take out y as a constant, because you are integrating with respect to x. \[y\int \frac{1}{x}dx\]

Answer 4

\[\int\limits \frac{y}{x} \cdot dx \implies y \cdot \int\limits \frac{1}{x} \cdot dx \implies y \cdot \ln(x)\]

Answer 5

+ C as well..

Answer 6

\[\dfrac{d}{dx} ln(x) = \frac{1}{x} \]\[\int \frac{1}{x}dx = \ln(x) +c\]

Answer 7

ahhh yes, shame i overlooked that, yes thanks for pointing it out good job, thumbs up thanks maam's :))

Answer 8

There is only one Ma'am here. :P

Answer 9

Anyways, you are welcome.. :)

Answer 10

thank you peeps then ehehe :))

Answer 11

you need to add a function h(y) to your integral

Answer 12

yup, noted, thanks sir thumbs up

Answer 13

since with respect to x, the derivative of h(y) is zero

Answer 14

Is there something like implicit integration @perl