SPM 2020 Add Maths Paper 1, Question 17Integration

Solved on video in English and Bahasa Melayu · 3 marks · Form 5, Integration · 3:35 video

The question

Given dy/dx = 8/(3 - 4x)², express y in terms of x when x = 1 and y = -12.

[3 marks]

Step 1

Write dy/dx = 8(3 - 4x)⁻² and integrate: y = integral of 8(3 - 4x)⁻² dx.

Why this step

A fraction is awkward to integrate directly. Writing it as 8(3 - 4x)⁻² lets us use the power rule for a bracket.

4 more steps, each with the reason for it, in the full solution

Final answer

y = 2/(3 - 4x) - 10

Where students lose marks

Watch out: when finding c, 2/(-1) is -2, not 2. Then -12 = -2 + c gives c = -10, not -14.

Watch every step of this question solved on video (3:35), with the reason behind each step and a box that checks your own answer.

No card. Every past-year question on video, in English and BM.