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Calculus 2 · Chapter 3 · Lesson 3.1 · Printable PDF

Arc Length Worksheet with Answer Key

7 problems on arc length. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Arc length worksheet with answer key - Calculus 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Let y = x^714 + kx^5 with a constant k > 0.
  2. Find the length of the curve y = 13(x² + 2)³/2 from x = 2 to x = 5.
  3. Find the length of the curve x = y³/29 - 3√(y) from y = 1 to y = 4, as an integral in y.
  4. Find the exact length of the curve y = (1 - x²) from x = 0 to x = 23.
  5. Find the exact length of the parabola y = x²2 from x = 0 to x = 512.
  6. Let L be the length of y = x from x = 0 to x = π4.
  7. Three students estimated the length L of y = x^44 from x = 0 to x = 2 without a calculator.

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The free lesson teaches it with worked examples and practice problems.

Arc length: the lesson ›

More Chapter 3 worksheets: Further applications: arc length and more