SPM 2019 Add Maths Paper 1, Question 18Integration

Solved on video in English and Bahasa Melayu · 4 marks · Form 5, Integration · 3:52 video

The question

Given that the integral from 3 to k of f(y) dy equals 3/2, find (a) the integral from k to 3 of 4f(y) dy, (b) the value of k such that the integral from 3 to k of [2 - f(y)] dy equals 4.

[4 marks]

SPM 2019 Add Maths Paper 1, Question 18: the question as drawn in Eduly's video3:52

Step 1

Integral from k to 3 of 4f(y)dy = 4 x integral from k to 3 of f(y)dy.

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

Final answer

(a) −6, (b) k = 23/4

Where students lose marks

Watch out: swapping the limits flips the sign, and for [2y] from 3 to k, subtract the lower limit: 2k − 6.

Watch every step of this question solved on video (3:52), with the reason behind each step and a box that checks your own answer.

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