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Further Calculus Applications · Summer Term

Arc Length and Surface Area of Revolution

Calculating the length of a curve and the surface area of a solid of revolution using integration.

Key Questions

  1. Explain the derivation of the formula for arc length.
  2. Analyze the conditions under which a surface area of revolution can be calculated.
  3. Construct an integral to find the arc length of a given function.

National Curriculum Attainment Targets

A-Level: Further Mathematics - Integration
Year: Year 13
Subject: Mathematics
Unit: Further Calculus Applications
Period: Summer Term

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