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3.6 Integration (A-level only)

3.6 Integration (A-level only)

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Question 202

A chemical reactor's internal pressure PPP, measured in kilopascals (kPa), increases over time ttt (minutes) according to the model

P=34t2+12,t≥0 P = \frac{3}{4}t^2 + 12, \quad t \ge 0 P=43​t2+12,t≥0

A monitoring system tracks the pressure until it reaches a critical threshold of 39 kPa. The finite region R R\,R in the first quadrant of the ttt-P P\,P plane is bounded by the PPP-axis, the horizontal line P=39P = 39P=39, and the curve representing the reactor's pressure.

Calculate the exact area of RRR.

[5]
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3.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Integration (A-level only)

363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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