Further Calculus Skills

We estimate ME12-CS is worth about 10 marks out of 100 under the new Mathematics Extension 1 syllabus. Practise 17 exam-style questions (algebraic answer, numerical answer, multiple choice, multi-part) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 2 marks · algebraic answer

Differentiate $y = sin^{- 1} (\frac{x}{2})$ .

Example 2 · 3 marks · numerical answer

Use the substitution $u = x^{2} + 1$ to evaluate $\int_{0}^{1} x (x^{2} + 1)^{3} d x$ .

Example 3 · 3 marks · numerical answer

Evaluate $\int_{0}^{π /4} cos^{2} x d x$ , correct to three decimal places.

Answers and worked solutions appear when you practise these questions.

Further Calculus Skills

Example questions

Other Mathematics Extension 1 topics