I want to investigate the absolute convergence of integral. $$\int_{0}^{\infty} \; x^4 \; \sin(e^{2x}) \; dx$$ I made a replacement $$t = e^{2x},\; x = \frac{\ln{t}}{2} \\ \int_{1}^{\infty} \; \frac{\ln^4{t}}{32t} \; \sin{t} \;dt$$ I do not know how to continue. Please, help me
2026-03-27 00:45:54.1774572354
Investigate the absolute convergence of the integral
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