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Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)

Mathematics
JAMB 2013

Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)

  • A. \(2x^{2} - \frac{1}{x} + k\)
  • B. \(-\frac{1}{2x^{2}} - \frac{1}{x} + k\)
  • C. \(-\frac{x^{2}}{2} - \frac{1}{x} + k\)
  • D. \(x^{2} - \frac{1}{x} + k\)
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Correct Answer: Option B
Explanation

\(\int \frac{1 + x}{x^{3}} \mathrm d x\)

= \(\int (\frac{1}{x^{3}} + \frac{x}{x^{3}}) \mathrm d x\)

= \(\int (x^{-3} + x^{-2}) \mathrm d x\)

= \(\frac{-1}{2x^{2}} - \frac{1}{x} + k\)

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
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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