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Mathematical Methods — Question 5

QCAA 2023, Paper 1 · 1 mark

Q5 · 2023 · Technology-freeSimple familiar1 mark

QUESTION 5

Determine

\displaystyle\int_1^3\frac1{2x}\,dx

.

(A)

\frac12\ln6

(B)

\frac52\ln5

(C)

\frac12\ln4

(D)

\frac12\ln3

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer D

1 mark

ANSWER

D —

\frac12\ln3

Worked solution

\frac12[\ln x]_1^3=\frac12\ln3

; D.

Selects option D.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.

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