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

  • A \(\frac{2x^{9/2}}{9}\) + c
waec 2021furthermathematics

The correct answer is A. \(\frac{2x^{9/2}}{9}\) + c

F1 (x) = x\(^3\) âˆšx = 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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