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Mathematics Advanced

Stage 6 · HSC questions by topic

About this subject

Mathematics Advanced

Atlas organises human-reviewed questions against the NSW Stage 6 Mathematics Advancedsyllabus. Every published question retains its exam source and page.

Syllabus: NESA Stage 6 (2017)
Explore the NESA Stage 6 (2017) syllabus topics

Functions

  • Working with Functions
  • Graphing Techniques

Trigonometric Functions

  • Trigonometry and Measure of Angles
  • Trigonometric Functions and Identities
  • Trigonometric Functions and Graphs

Calculus

  • Introduction to Differentiation
  • Differential Calculus
  • Applications of Differentiation
  • Integral Calculus

Exponential and Logarithmic Functions

  • Logarithms and Exponentials

Statistical Analysis

  • Probability and Discrete Probability Distributions
  • Descriptive Statistics and Bivariate Data Analysis
  • Random Variables

Financial Mathematics

  • Modelling Financial Situations
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2025HSC
Q5

What is

∫1x+5 dx?\int \frac{1}{\sqrt{x+5}}\,dx?∫x+5
​
1
​
d
x
?

A. 12x+5+C\frac{1}{2}\sqrt{x+5}+C21​x+5​+C
B. 2x+5+C2\sqrt{x+5}+C2x+5​+C
C. −12x+5+C-\frac{1}{2}\sqrt{x+5}+C−21​x+5​
D. −2x+5+C-2\sqrt{x+5}+C−2x+5​+C

1 mark
Multiple choice
+
C