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A2 1 Pure Mathematics

Quick questions on Further calculus: Maclaurin series, improper integrals, arc length and surface area - CCEA A-Level Further Maths

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is maclaurin series?
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You either differentiate repeatedly and evaluate at 00, or substitute into a standard series.
What is q1?
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Write down the Maclaurin series for exe^x up to the x2x^2 term. [1 mark]
What is q2?
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Evaluate ∫1∞1x3 dx\displaystyle\int_{1}^{\infty} \frac{1}{x^3}\,dx. [2 marks]
What is q3?
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State the arc-length formula for y=f(x)y = f(x) from aa to bb. [1 mark]

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