Quick questions on Further calculus: improper integrals, volumes of revolution and mean values - Edexcel A-Level Further Maths

3short 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 q1?

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Find the volume generated when

y = \sqrt{x}

for

0 \le x \le 4

is rotated about the

x

-axis. [3 marks]

What is q2?

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Find the mean value of

f(x) = x^2

[0, 3]

. [3 marks]

What is q3?

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Evaluate

\displaystyle\int_1^{\infty}\frac{1}{x^3}\,dx

. [3 marks]

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