ECZ 2021 · GCE Paper 1 — Introduction To Calculus

Find ∫(10x⁴ − 4x + 3x²) dx.

  • A. 2x⁵ − 2x² − 3x+ c
  • B. 2x⁵ − 2x² + 3x+ c
  • C. 40x³ − 4 − 6x³ + c
  • D. 2x⁵ − 4x² − 3x+ c

Verified working — step 1

Integrate term by term, raising each index by one and dividing: 10x⁴ → 2x⁵; −4x → −2x²; and 3x² = 3x⁻² → 3x⁻¹/(−1) = …

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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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