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Question

Multivariable Calculus Question on Integral Calculus

The value of
limt((log(t2+1t2))11πtsin25xxdx)\lim\limits_{t→\infin}\left((\log(t^2+\frac{1}{t^2}))^{-1} \int\limits_{1}^{\pi t} \frac{\sin^25x}{x}dx\right)
equals ___________ (rounded off to two decimal places).

Answer

The correct answer is 0.24 to 0.26. (approx)