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Question Number 165097 by abdullahhhhh last updated on 26/Jan/22

Answered by Eulerian last updated on 26/Jan/22

$$$$$$\mathrm{By}\mathrm{using}\mathrm{King}\mathrm{rule}\mathrm{of}\mathrm{integration}:$$$${\int }_{\frac{\pi }{6}}^{\frac{\pi }{3}}{\left(\cot \mathrm{x}\right)}^{{\left(\tan \mathrm{x}\right)}^{\left(\cot \mathrm{x}\right)}}-{\left(\tan \mathrm{x}\right)}^{{\left(\cot \mathrm{x}\right)}^{\left(\tan \mathrm{x}\right)}}\mathrm{dx}=0$$

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