Скачать или смотреть Integration as The Limit of a Sum (Q5 A2 P1 Edexcel 2025)

In this video, Lee Guffick — former Head of Mathematics and A-Level Examiner — breaks down Question 5 from Edexcel A Level Maths Paper 1 (2025), a tricky problem on limits, sigma notation, and integration that once caused major confusion when it first appeared in exams.

You’ll learn how to:
✅ Interpret the limit of a summation as an integral — understanding what the notation really means.
✅ Rewrite
lim
⁡
Δ
𝑥
→
0
∑
2
/
𝑥
 
Δ
𝑥
Δx→0
lim
​

∑2/xΔx as a definite integral.
✅ Evaluate
∫
1.44
2.89
2
𝑥
 
𝑑
𝑥
∫
1.44
2.89
​

x
2
​

dx accurately step-by-step.
✅ Simplify results to show that the integral equals 2.

Lee explains not just how to do it, but why it works — demystifying the link between summation and integration, a concept that often catches even strong students off guard.

⏱️ TIMESTAMPS:
00:00 – Introduction
00:07 – Understanding the summation limit notation
00:27 – Why this question caused controversy in past papers
00:48 – Rewriting the summation as an integral
01:30 – Integrating
2
𝑥
−
1
2x
−1
step-by-step
02:27 – Evaluating between limits 1.44 and 2.89
03:20 – Simplifying to show the final answer
=
2
=2
03:32 – Summary and exam insight

✏️ TOPICS COVERED:

Relationship between summation and integration

Sigma notation and limit notation

Evaluating definite integrals

Edexcel A Level Maths 2025 Paper 1

Interpreting non-standard notation in exams

💯 EXAM TIPS:

When you see “
lim
⁡
Δ
𝑥
→
0
∑
lim
Δx→0
​

∑” — think integration.

Re-express fractions as powers for quicker integration.

Check for calculator errors when square-rooting decimals.

Remember: clarity of working earns method marks, even under pressure.

📚 ABOUT GUFFICK TUITION:
Lee Guffick is a premium online maths tutor, former Head of Mathematics, and A-Level Examiner, helping students achieve A/A grades* and secure offers from Oxford, Cambridge, and Ivy League universities.

📅 JOIN OUR PROGRAMME:
→ 1:1 Tutoring: https://www.gufficktuition.com/tutoring

→ Small Group Classes: https://www.gufficktuition.com/group-...

→ Summer Intensives: https://www.gufficktuition.com/tutoring

📱 CONNECT WITH LEE:
→ Instagram: @leeguffick

→ Website: https://www.gufficktuition.com

→ Email: [email protected]

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