∫_(π/4)^(π/2)▒〖e^x (log⁡sin⁡〖x+cot⁡x 〗 )dx〗 is equal to

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∫x.cot(π/2 - x²)/(cot(π/2-ln(5π)+x²) + tan(x²)) dx [√(ln(π)), √(ln(5))] = ??? 😅 ∫x.cot(π/2 - x²)/(cot(π/2-ln(5π)+x²) + tan(x²)) dx [√(ln(π)), √(ln(5))] = ??? 😅