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If \(\int^3_0(px^2 + 16)dx\) = 129. Find the value of p.

Further Mathematics
WAEC 2020

If \(\int^3_0(px^2 + 16)dx\) = 129. Find the value of p.

  • A. 9
  • B. 8
  • C. 7
  • D. 6
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Correct Answer: Option A
Explanation

\(\int^3_0(px^2 + 16)\) = 129

\(\frac{px^2 + 1}{0 + 1} + 16x|^3_0 = 129\)

\(\frac{px^3}{3} + 16x|^3_0 = 129\)

(\(\frac{p(3)^3}{3} + 16(3)\)) - 0 = 129

9p + 48 = 129

9p = 129 - 48 

\(\frac{9p}{9} = \frac{81}{9}\) 

p = 9


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
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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
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