Complete the symmetry shortcuts

Exercise and reference answers

Missing parts

1. Answer

   zero

   Choices

   1. zero
   2. twice the half
   3. its own square

2. Answer

   twice

   Choices

   1. half
   2. twice
   3. four times

3. Answer

   King's

   Choices

   1. Wallis
   2. Leibniz
   3. King's

Complete the statement

Taken from minus a to a, an odd function integrates to {0}, an even function integrates to {1} the value from zero to a, and swapping x for pi over two minus x is the move called {2} rule.

Instructions

Tap a phrase into each blank to complete the symmetry shortcuts for definite integrals.

Explanation