Assertion and reason

Exercise and reference answers

Questions

1. Reason

   Any two functions with the same derivative differ only by a constant.

   Verdict

   Both are true; the reason explains the assertion.

   Assertion

   An indefinite integral is written with a trailing constant.

2. Reason

   The two processes are inverses of each other.

   Verdict

   Both are true; the reason explains the assertion.

   Assertion

   Integration can be checked by differentiating the answer.

3. Reason

   The integral of a sum is the sum of the integrals.

   Verdict

   The assertion is false and the reason is true.

   Assertion

   The integral of a product is the product of the integrals.

Explanation