ECZ 2019 · GCE Paper 1 — Introduction To Calculus
Find the integral of 3x³/2 − 5x + 1x² with respect to x.
- A. ⅜x⁴ − 5x² − 1x+ c
- B. ⅜x⁴ − ⁵⁄₂x² + 1x+ c
- C. 9x²/2 − 5 − 2x³ + c
- D. ⅜x⁴ − ⁵⁄₂x² − 1x+ c
Verified working — step 1
Integrate term by term, raising each power by 1 and dividing by the new power: ∫3x³/2 dx = 3x⁴/8; ∫−5x dx = −5x²/2; ∫x⁻² dx = x⁻¹/(−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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