Mathematics

Mathematics

Problem

The integral ∫π/4π/2(2csc⁡x)17 dx\int_{\pi/4}^{\pi/2} (2 \csc x)^{17} \, dx is equal to: a. ∫0log⁡(1+2)2(eu+e−u)16du\int_{0}^{\log(1+\sqrt{2})} 2(e^u + e^{-u})^{16} du b. ∫0log⁡(1+2)(eu+e−u)17du\int_{0}^{\log(1+\sqrt{2})} (e^u + e^{-u})^{17} du c. ∫0log⁡(1+2)(eu−e−u)17du\int_{0}^{\log(1+\sqrt{2})} (e^u - e^{-u})^{17} du d. ∫0log⁡(1+2)2(eu−e−u)16du\int_{0}^{\log(1+\sqrt{2})} 2(e^u - e^{-u})^{16} du

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