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Mathematical Methods — Question 9

QCAA 2020, Paper 1 · 1 mark

Q9 · 2020 · Technology-freeSimple familiar1 mark

QUESTION 9

Determine

\int \frac{x+1}{x^2+2x}\,dx.

(A)

\ln\left(\frac{1}{2x+2}\right)+c

(B)

\ln(2x+2)+c

(C)

\frac12\ln(x^2+2x)+c

(D)

2\ln(x^2+2x)+c

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer C

1 mark

ANSWER

C

Worked solution

Since

\frac{d}{dx}(x^2+2x)=2(x+1)

, the integral is

\frac12\ln(x^2+2x)+c

. Hence C.

Selects option C.

[1 mark]

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

View the full QCAA marking guide

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