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Integrate \(\int (4x^{-3} - 7x^2 + 5x - 6) \mathrm d x\).

Mathematics
JAMB 2019

Integrate \(\int (4x^{-3} - 7x^2 + 5x - 6) \mathrm d x\).

  • A. \(-2x^{-2} - \frac{7}{3}x^3 + \frac{5}{2} x^2 - 6x\)
  • B. \(2x^2 + \frac{7}{3} x^3 - 5x + 6\)
  • C. \(12x^2 + 14x - 5\)
  • D. \(-12x^{-4} - 14x + 5\)
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Correct Answer: Option A
Explanation

\(\int (4x^{-3} - 7x^2 + 5x - 6) \mathrm d x\)

= \(\frac{4x^{-3 + 1}}{-3 + 1} - \frac{7x^{2 + 1}}{2 + 1} + \frac{5x^{1 + 1}}{1 + 1} - 6x\)

= \(-2x^{-2} - \frac{7}{3} x^3 + \frac{5}{2} x^2 - 6x\)

There is an explanation video available below.


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Explanation Video

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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709