Fix the broken integral rules

Exercise and reference answers

Questions

1. Statement parts

   1. Swapping the two limits
   2. of a definite integral
   3. leaves its value
   4. completely unchanged

   Correction

   flips its sign

   Incorrect part

   completely unchanged

2. Statement parts

   1. An integral from a to a
   2. always equals one
   3. because that interval
   4. has zero width

   Correction

   always equals zero

   Incorrect part

   always equals one

3. Statement parts

   1. For an odd function
   2. the integral from minus a to a
   3. is twice the integral
   4. from zero to a

   Correction

   is zero

   Incorrect part

   is twice the integral

4. Statement parts

   1. An integral from a to b
   2. may be split at c
   3. whenever c lies
   4. outside the two limits

   Correction

   between the two limits

   Incorrect part

   outside the two limits

Instructions

Every rule below has one piece stated wrongly. Tap the piece that does not belong.

Explanation