IB Math AA | Year 2 (Senior) · Integration and Areas · part 1/7

Integration Basics in 9 Min (6-Mark Paper 1)

Name: Integration Basics in 9 Min (6-Mark Paper 1) | IB Math AA 5.5 [IB2]
Uploaded: 2026-10-12
Description: Integration from zero: why it undoes differentiation, the reverse power rule, and how one point on the curve gives you the constant + C. Includes a six mark Paper 1 style question solved step by step, without a calculator. Part 1 of 7, for IB Mathematics: Analysis and Approaches, SL and HL.

Integration from zero: why it undoes differentiation, the reverse power rule, and how one point on the curve gives you the constant + C. Includes a six mark Paper 1 style question solved step by step, without a calculator. Part 1 of 7, for IB Mathematics: Analysis and Approaches, SL and HL.

In this lesson

0:00 The question
0:19 Warm-up
0:54 Integration undoes differentiation
1:50 The reverse power rule
3:14 Finding C
4:27 Practice: three integrals
6:07 What earns the marks
6:52 Exam question solved
7:44 Recap
8:15 Next Monday

Answers to the practice questions at the end of the video

2x⁴ − x³ + x + C [3].
Write 6x^(−3) [1]; 6x^(−2) ÷ (−2) [1] = −3/x² + C [1].
f(x) = 4x^(3/2) + C [2]; 20 = 4 × 8 + C, so C = −12 [1]; f(x) = 4x^(3/2) − 12 [1].

Questions are original, in the style of the exam; marks are estimates.

New IB lessons every day. Subscribe to TheIBAxolotl so the next part shows up in your feed.