Question

How to integrate y-3 / y?

Answer 1

\[\int\limits \frac{y-3}{y}dy?\]

Answer 2

Yes.

Answer 3

Separate the denominator

Answer 4

\[\int\limits 1-\frac{3}{y}dy\]

Answer 5

\[\int\limits 1-3y^{-1}dy\]
Its just power rule now

Answer 6

So I wil get y-3y..right?

Answer 7

Nope, integrating \(y^{-1}\) gives off ln(y)

Answer 8

It is y - 3 In y?

Answer 9

Careful, you forgot the constant

Answer 10

Is it correct?

Answer 11

Nope, I told you already you forgot the constant. You will get a constant whenever you do indefinite integrals

Answer 12

So 1-3 In y?The constant is 1,right?Is it?

Answer 13

No the constant is "c"
\[\int\limits\limits 1-3y^{-1}dy\]
\[=y-3\ln(y)+c\]

Answer 14

Okay,I got it. But if the question also have dx and dy,where must I put C?