ECZ 2024 · O-Level Paper 2 · Question 6 — Introduction To Calculus

Question from ECZ 2024 · O-Level Paper 2 · Question 6

(a) Evaluate ∫31 (4x3 - 3x2 + 2) dx.[3]

Verified working — step 1

Integrate term by term: the antiderivative of 4x3 - 3x2 + 2 is x4 - x3 + 2x.

(b) Express 1x - 1 - 102x + 1 as a single fraction in its simplest form.[3]

Verified working — step 1

Common denominator (x - 1)(2x + 1):

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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