ECZ 2024 · GCE Paper 2 · Question 5 — Introduction To Calculus

A flowchart is given (see diagram): Start; Enter r, θ; Is r < 0? Yes: Print 'error, r is not valid'; No: A = (θ/360)*π*r2; Print A; Stop.

(a) Evaluate the integral of (6x5 - x4 + 3x2 - 1) dx from x = -1 to x = 2.[3]

Verified working — step 1

∫(6x5 - x4 + 3x2 - 1) dx = x6 - x5/5 + x3 - x + C

(b) Write a pseudocode corresponding to the flowchart program above.[5]

Diagram for part (b)

Verified working — step 1

Follow the flowchart step by step and translate each shape into pseudocode:

The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.

Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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