Paper 1 · Integration
⏱ Tested in 3 exam questions since 2019
Lesson 8 of 13
Integration 8 – Finding f(x) when given the slope
This tutorial is for members
Read the lesson notes free below — subscribe to watch the full worked video and download the PDF.
Subscribe for full access · €199/yrYou’ll learn
- Recover f(x) from a given slope f′(x) by integrating
- Pin down the constant C by substituting a given point on the curve
- Interpret 'x = a is a root' as the point (a, 0) on the curve
- Combine f″(x) = 0 with the recovered f(x) to find a point of inflection
Most recent exam questions
- 2024 P1 Q5(a) — deferred
- 2021 P1 Q6(c)
- 2019 P1 Q4(b)(i)
💬 Stuck on something in this lesson?
Send your question with this lesson’s name attached — you’ll get a reply by email.