Dark mode

Mathematical Methods — Question 7

QCAA 2021, Paper 1 · 1 mark

Q7 · 2021 · Technology-freeSimple familiar1 mark

QUESTION 7

Determine

\int_1^3(2x+3)\,dx.

(A)

2

(B)

4

(C)

14

(D)

16

ABCD

Question linkOriginal paper

WORKED SOLUTION

Answer C

1 mark

ANSWER

C

Worked solution

[x^2+3x]_1^3=(9+9)-(1+3)=14

.

Selects option C.

[1 mark]

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

View the full QCAA marking guide

Related questions

Q1 · 2025 QCAA · Paper 1 · 1 mark
Determine the value of $\displaystyle\int_1^2 3x^2\,dx$ .
Question and worked solution
Q2 · 2025 QCAA · Paper 1 · 1 mark
State the domain of the function $y=\ln(x)$ .
Question and worked solution
Q3 · 2025 QCAA · Paper 1 · 1 mark
A council wants to survey residents about a new dog park. Which sampling method would best minimise bias in the survey?
Question and worked solution
Q4 · 2025 QCAA · Paper 1 · 1 mark
Solve for $x$ in the equation $\ln(x)+\ln(2)=\ln(8)$ .
Question and worked solution