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Question Number 97988 by abdomathmax last updated on 10/Jun/20

calculate by recurrence A_n =∫_0 ^(π/4)  (dx/(cos^n x))

$$\mathrm{calculate}\:\mathrm{by}\:\mathrm{recurrence}\:\mathrm{A}_{\mathrm{n}} =\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\frac{\mathrm{dx}}{\mathrm{cos}^{\mathrm{n}} \mathrm{x}} \\ $$

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