ECZ 2018 · GCE Paper 1 — Introduction To Calculus

Integrate 3x⁴ − 4x⁻³ with respect to x.

  • A. (35)x⁵ + 2x² + c
  • B. (35)x⁵ − 2x² + c
  • C. (35)x² − 2x² + c
  • D. 12x³ + 12x⁻⁴ + c

Verified working — step 1

Raise each power by 1 and divide by the new power: ∫3x⁴ dx = 3x⁵/5, and ∫−4x⁻³ dx = −4x⁻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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