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AS91579 Integration

Numerical methods: rectangle and trapezium rules

AAchieved

  1. 1Use the trapezium rule with 4 strips to estimate ∫ from 0 to 2 of x² dx. Find the estimate.Free
  2. 2Use 4 rectangles of equal width, with heights at the left end of each strip, to estimate ∫ from 1 to 3 of 1/x dx. Find the estimate.Free
  3. 3A cyclist’s speed v (m/s) is measured every 2 seconds: t = 0, 2, 4, 6, 8 gives v = 0, 5, 9, 12, 14. Use the trapezium rule to estimate the distance travelled in the 8 seconds.Free

MMerit

  1. 4A Merit question, in the pass🔒 Pass

EExcellence

  1. 5A Excellence question, in the pass🔒 Pass
  2. 6A Excellence question, in the pass🔒 Pass