ECZ 2023 · GCE Paper 1 — Introduction To Calculus

Integrate 3x² − 5x + 9x³ with respect to x.

  • A. x³ − 5x²/2 + 92x²+ c
  • B. x³ − 5x²/2 − 92x²+ c
  • C. 6x − 5 − 27x⁴ + c
  • D. x³ − 5x²/2 − 3x² + c

Verified working — step 1

Write 9x³ as 9x⁻³, then raise each power by 1 and divide by the new power: 3x² → x³; −5x → −5x²/2; 9x⁻³ → 9x⁻²/(−2) = …

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

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