6 Four students, Tom, Josh, Floella and Georgia are attempting to complete the indefinite integral $$\int \frac { 1 } { x } \mathrm {~d} x \quad \text { for } x > 0$$ Each of the students' solutions is shown below: $$\begin{array} { l l } \text { Tom } & \int \frac { 1 } { x } \mathrm {~d} x = \ln x
\text { Josh } & \int \frac { 1 } { x } \mathrm {~d} x = k \ln x
\text { Floella } & \int \frac { 1 } { x } \mathrm {~d} x = \ln A x
\text { Georgia } & \int \frac { 1 } { x } \mathrm {~d} x = \ln x + c \end{array}$$ 6

1. 1. Explain what is wrong with Tom's answer. 6
2. (ii) Explain what is wrong with Josh's answer.
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3. Explain why Floella and Georgia's answers are equivalent.