Home › AP (Advanced Placement) › Mathematics › Techniques of Integration › The exact form that decomposition takes depends …
The exact form that decomposition takes depends heavily on the factorisation of the:
AConstant
BDenominator
CNumerator
DInterval
Answer & Solution
Correct answer: B. Denominator
1. The bottom of the fraction is what matters.
2. Its factors set the shape of the split.
3. It is the denominator.
_Source: OpenStax Calculus Volume 2, Chapter 3, Techniques of Integration._
Related questions
For a rational function, the first thing to recognise is the presence of simple:Before choosing a technique, a student must first recognise when integration by parts is:Integration by parts also has a version adapted for use with:Some improper integrals cannot be evaluated directly, so a student compares them with a chWhen the limit does exist and gives a finite value, the integral is said to:Evaluating such an integral, a student finds the limit does not exist. The integral is theThe other kind is taken over a closed interval where the function has an infinite:One kind of such integral is taken over an interval that is: