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MCQ 2 - H2 Integrate x^n excluding n = -1 and related sums, differences and constant multiples; integrate e^(kx), 1/x, sin kx, cos kx and related sums, differences and constant multiples. - Pure Mathematics

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Pure Mathematics

Exam-style question

Try this first

What is the safest exam approach for integrate x^n excluding n = -1 and related sums?.

  1. A.H2: justify each step using the relevant integration rule
  2. B.Use any familiar GCSE calculation even if it ignores Integrate x^n excluding n = -1 and related sums
  3. C.Write only the final answer without showing the mathematical method
  4. D.Change the notation or restrictions to make the algebra look simpler

Model answer

What a good answer should say

  • The correct answer is H2: justify each step using the relevant integration rule.
  • This option is best because select the integration method and interpret constants, limits or area meaning, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.

This answer is tied to the objective: H2 Integrate x^n excluding n = -1 and related sums, differences and constant multiples; integrate e^(kx), 1/x, sin kx, cos kx and related sums, differences and constant multiples..

Explanation

Why this works

Use the explanation to connect the worked answer back to H2 Integrate x^n excluding n = -1 and related sums, differences and constant multiples; integrate e^(kx), 1/x, sin kx, cos kx and related sums, differences and constant multiples..

H2: justify each step using the relevant integration rule is the correct option. It directly supports integrate x^n excluding n = -1 and related sums by requiring the student to select the integration method and interpret constants, limits or area meaning.

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.

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