Multiple choice general knowledge math & puzzles

An antiderivative of function f divided by an antiderivative of function g is an antiderivative of function f / g.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The rule for derivatives of quotients (Quotient Rule) is complex; similarly, the antiderivative of a quotient is not simply the quotient of the antiderivatives. For example, $\int (x/x) dx = x$, but $(\int x dx) / (\int x dx) = (x^2/2) / (x^2/2) = 1$.

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