\( \int \sqrt[3]{x} \sqrt[7]{1+\sqrt[3]{x^{4}}} d x \) is equal to (A) \( \frac{21}{32}\left\{1+...

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\( \int \sqrt[3]{x} \sqrt[7]{1+\sqrt[3]{x^{4}}} d x \) is equal to
(A) \( \frac{21}{32}\left\{1+\sqrt[3]{x^{4}}\right\}^{8 / 7}+C \)
(B) \( \frac{32}{21}\left\{1+\sqrt[3]{x^{4}}\right\}^{8 / 7}+C \)
(C) \( \frac{7}{32}\left\{1+\sqrt[3]{x^{4}}\right\}^{8 / 7}+C \)
(D) none of these
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