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Mathematical Methods — Question 6

QCAA 2023, Paper 2 · 1 mark

Q6 · 2023 · Technology-activeSimple familiar1 mark

QUESTION 6

For

a\ne0

, determine

\displaystyle\int_a^{5a}\frac1{x+a}\,dx

.

(A)

\ln2

(B)

\ln4

(C)

\ln5

(D)

\ln3

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer D

1 mark

ANSWER

D —

\ln3

Worked solution

[\ln(x+a)]_a^{5a}=\ln(6a)-\ln(2a)=\ln3

; D.

Selects option D.

[1 mark]

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

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