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Question Number 212007 by Nadirhashim last updated on 26/Sep/24

$$\int \mathit{s}\mathit{i}\mathit{n}\left(\mathit{x}\right)\sqrt[3]{\mathit{t}\mathit{a}\mathit{n}\left(\mathit{x}\right)}.\mathit{d}\mathit{x}$$

Answered by Ghisom last updated on 26/Sep/24

$$=\int {\left(\cos x\right)}^{-1/3}{\left(\sin x\right)}^{4/3}dx=$$$$=\frac{3}{7}{}_2{F}_1(\frac{2}{3},\frac{7}{6},\frac{13}{6},{\sin }^{2}x){\sin }^{7/3}x+C$$

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