Exam-style question
Try this first
What is the safest exam approach for carry out simple cases of integration by substitution and…?.
- A.H5: justify each step using the relevant integration rule
- B.Use any familiar GCSE calculation even if it ignores Carry out simple cases of integration by substitution and…
- C.Write only the final answer without showing the mathematical method
- D.Change the notation or restrictions to make the algebra look simpler
Model answer
What a good answer should say
- The correct answer is H5: justify each step using the relevant integration rule.
- This option is best because track domain, range, composition order and inverse notation, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.
This answer is tied to the objective: H5 Carry out simple cases of integration by substitution and integration by parts; understand these methods as inverse processes of the chain and product rules respectively, with substitution limited to cases where one substitution leads to an integrable function and integration by parts excluding reduction formulae..
Explanation
Why this works
Use the explanation to connect the worked answer back to H5 Carry out simple cases of integration by substitution and integration by parts; understand these methods as inverse processes of the chain and product rules respectively, with substitution limited to cases where one substitution leads to an integrable function and integration by parts excluding reduction formulae..
H5: justify each step using the relevant integration rule is the correct option. It directly supports carry out simple cases of integration by substitution and… by requiring the student to track domain, range, composition order and inverse notation.
The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: practice.
- Reasoning demand: understanding.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.