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Mathematical Methods — Question 3

QCAA 2021, Paper 1 · 1 mark

Q3 · 2021 · Technology-freeSimple familiar1 mark

QUESTION 3

Determine

\int 10e^{4x}\,dx.

(A)

\dfrac{10e^{4x+1}}{4x+1}+c

(B)

40e^{4x}+c

(C)

\dfrac52e^{4x}+c

(D)

2e^{5x}+c

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer C

1 mark

ANSWER

C

Worked solution

Since

\int e^{4x}dx=\frac14e^{4x}

, the integral is

\frac{10}{4}e^{4x}+c=\frac52e^{4x}+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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