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Given that F\(^1\)(x) = x\(^3\) √x, find f(x)    

Further Mathematics
WAEC 2021

Given that F\(^1\)(x) = x\(^3\) √x, find f(x)

 

 

  • A. \(\frac{2x^{9/2}}{9}\) + c
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Correct Answer: Option A
Explanation

F1 (x) = x\(^3\) √x = x\(^{7/2}\)

F(x) = \(\frac{x^{7/2 +1}}{7/2 + 1}\) + c

= \(\frac{x^{9/2}}{9/2}\)

= \(\frac{2x^{9/2}}{9}\) + c


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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
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 Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
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