- #1

Saibot

- 12

- 6

- Homework Statement
- Find the integral of 1/(2x-2)

- Relevant Equations
- u substitution

I removed the coefficient of 1/2 before integrating. So I had:

1/2 integral[(1/x-1)]

= 1/2 ln(x-1) + C

Using u substitution without removing the coefficient yields

1/2 ln(2x-2) + C

I get how it works both ways, and my answer must be wrong, but what exactly is causing this conflict? Am I not supposed to remove the factor of 1/2?

What is happening here?

1/2 integral[(1/x-1)]

= 1/2 ln(x-1) + C

Using u substitution without removing the coefficient yields

1/2 ln(2x-2) + C

I get how it works both ways, and my answer must be wrong, but what exactly is causing this conflict? Am I not supposed to remove the factor of 1/2?

What is happening here?