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AP® Calculus AB-BC

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Moderate

Antiderivatives: Opposite of Derivatives: Fractional Exponents

APCALC-@1JRBN

Find an antiderivative of:

$$f(x)=3 {x}^{8/9}+5{x}^{2/7}$$

A

$\cfrac{27}{17}{x}^{17/9}+\cfrac{35}{9}{x}^{9/7}+C$

B

$3x^{17/19}+5x^{9/7}+C$

C

$\cfrac{9}{17}{x}^{17/9}+\cfrac{7}{9}{x}^{9/7}+C$

D

$\cfrac{8}{3}x^{-1/9}+\cfrac{10}{7}x^{-5/7}+C$