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Find ∫(x2 + 3x − 5)dx

Mathematics
JAMB 2017

Find ∫(x2 + 3x − 5)dx
  • A. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) - 5x + k
  • B. \(\frac{x_3}{3}\) - \(\frac{3x_2}{2}\) + 5x + k
  • C. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) - 5x + k
  • D. \(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) + 5x + k
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Correct Answer: Option C
Explanation
∫xndx = \(\frac{x_{n + 1}}{n + 1}\)

∫dx = x + k

where k is constant

∫(x2 + 3x − 5)dx

∫x2 dx + ∫3xdx − ∫5dx

\(\frac{2_{2 + 1}}{2 + 1}\) + \(\frac{3x^{1 + 1}}{1 + 1}\) − 5x + k

\(\frac{x_3}{3}\) + \(\frac{3x_2}{2}\) − 5x + 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
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
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