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Mathematical Methods — Question 2

QCAA 2020, Paper 1 · 1 mark

Q2 · 2020 · Technology-freeSimple familiar1 mark

QUESTION 2

Determine

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

(A)

x-e^{-x}+c

(B)

x+e^{-x}+c

(C)

1+xe^{-x}+c

(D)

x+xe^{-x}+c

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer A

1 mark

ANSWER

A

Worked solution

\frac{e^x+1}{e^x}=1+e^{-x}

, so

\int(1+e^{-x})dx=x-e^{-x}+c

. Hence A.

Selects option A.

[1 mark]

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

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