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Mathematical Methods — Question 3

QCAA 2020, Paper 1 · 1 mark

Q3 · 2020 · Technology-freeSimple familiar1 mark

QUESTION 3

Determine

2\int(4x+6)^3\,dx.

(A)

16(4x+6)^4+c

(B)

8(4x+6)^4+c

(C)

\frac{(4x+6)^4}{2}+c

(D)

\frac{(4x+6)^4}{8}+c

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer D

1 mark

ANSWER

D

Worked solution

With

u=4x+6

,

du=4dx

:

2\int(4x+6)^3dx=\frac12\int u^3du=\frac{u^4}{8}+c

. Hence D.

Selects option D.

[1 mark]

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

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