Given that F¹(x) = x³ √x, find f(x)

Correct Answer is : 2x929{2x^{9/2}}{9}92x29 + c

Correct Answer is : 2x929{2x^{9/2}}{9}92x29 + c

Test Index

WAEC Further Mathematics 2021 Paper

Question : 22

Total: 38

Given that F

^1

^3

√x, find f(x)

Solution:

F1 (x) = x $^3$ √x = x $^{\frac{7}{2}}$

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

= $\frac{x^{\frac{9}{2}}}{\frac{9}{2}}$

= $\frac{2x^{\frac{9}{2}}}{9}$ + c

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