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Question Number 115363 by mathdave last updated on 25/Sep/20

$$evaluate$$$${\int }_0^{\frac{\pi }{3}}\frac{1}{{\sin }^{2}x+{\cos }^{2}x}dx$$

Answered by Dwaipayan Shikari last updated on 25/Sep/20

$${\int }_0^{\frac{\pi }{3}}\frac{1}{{\sin }^2\mathrm{x}+{\cos }^2\mathrm{x}}\mathrm{dx}={\int }_0^{\frac{\pi }{3}}1\mathrm{dx}=\frac{\pi }{3}$$

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