Skip to content
BvunzoHub

Menu

Get full accessSign in

Cambridge IGCSE Additional Mathematics

14.10-14.11Integration as the reverse of differentiation

Integration as the reverse of differentiation in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic19 practice questions1 lesson
Practise this topicAll Additional Mathematics topics

Learning objectives

What the syllabus expects you to be able to do.

  1. 14.10Understand integration as the reverse process of differentiation.
  2. 14.11Integrate sums of terms in powers of x, including 1/x and 1/(ax + b).

Lessons

  • Integration as the reverse of differentiation

    40 min

    Full access

Join to read every lesson, or see what Full access includes.

Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Integration as the reverse of differentiation: sample question

1 mark

A curve has gradient function dydx=1x\dfrac{dy}{dx} = \dfrac{1}{\sqrt{x}} and passes through the point (1,3)(1, 3). Find the value of yy when x=16x = 16.

Only if the answer has a unit, e.g. cm or km/h.

Turn Integration as the reverse of differentiation into a strength.

Practise with instant marking, see your mastery grow and get a study plan built around your exam date.

Start learningAdditional Mathematics topics