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HomeCXC CSEC Additional MathematicsIntroductory Calculus: Integration
CXC · CSEC · Additional Mathematics

Introductory Calculus: Integration
Practice Questions

20 CXC CSEC Additional Mathematics questions on Introductory Calculus: Integration, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Introductory Calculus: Integration.

Try 2 sample questions on Introductory Calculus: Integration

Question 1 · 1 mark · Difficulty 1/3

What is ∫ 4x³ dx?

  1. x⁴ + C
  2. 12x² + C
  3. x³ + C
  4. 4x⁴ + C
Show answer & explanation
✓ Answer: Ax⁴ + C
Award 1 mark for correct integration using the power rule: ∫ 4x³ dx = 4(x⁴/4) + C = x⁴ + C. B is incorrect — this is the derivative, not the integral. C is incorrect — the coefficient has not been properly handled. D is incorrect — the student failed to divide by the new power.
Question 2 · 1 mark · Difficulty 1/3

Evaluate ∫ (5x² − 3x + 1) dx.

  1. 5x³/3 − 3x²/2 + x + C
  2. 10x − 3 + C
  3. 5x³ − 3x² + x + C
  4. 15x² − 6x + C
Show answer & explanation
✓ Answer: A5x³/3 − 3x²/2 + x + C
Award 1 mark for applying the power rule to each term correctly. B is incorrect — this is differentiation, not integration. C is incorrect — coefficients not divided by new powers. D is incorrect — this is the derivative of the original expression.
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20 questions · 25 min · free

CXC CSEC Additional Mathematics: Introductory Calculus: Integration FAQ

How many CXC CSEC Additional Mathematics questions on Introductory Calculus: Integration are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Introductory Calculus: Integration for CXC CSEC Additional Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CXC paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CXC CSEC students preparing for Additional Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Introductory Calculus: Integration practice with other Additional Mathematics topics or even switch to a totally different CXC subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Introductory Calculus: Integration questions aligned to the official CXC CSEC Additional Mathematics syllabus?
Every question is written against the published CXC CSEC Additional Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CXC paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CXC.
How is Introductory Calculus: Integration typically tested on CXC CSEC Additional Mathematics papers?
Introductory Calculus: Integration appears across multiple question types on real CXC CSEC Additional Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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