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Question Number 34593 by abdo mathsup 649 cc last updated on 08/May/18

$$1)calculate{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{cos\left(\alpha x^n\right)}{x^2+x+1}dxwithnintegr$$$$natural$$$$2)findthevalueof{\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{cos\left(\alpha x^{2n}\right)}{x^2+x+1}dx$$$$3)calculate{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{cos\left(\pi x^3\right)}{x^2+x+1}dx$$

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