Let \(f\) be a differentiable function defined on \(\left[0, \frac{\pi}{2}\right]\) such that \(.... VIDEO
Let \(f\) be a differentiable function defined on \(\left[0, \frac{\pi}{2}\right]\) such that \(f(x)>0\) and \(f(x)+\int_0^x f(t) \sqrt{1-\left(\log _e f(t)\right)^2} d t=e, \forall x \in\left[0, \frac{\pi}{2}\right]\) then \(\left(6 \log _e f\left(\frac{\pi}{6}\right)\right)^2\) is equal to ___________. 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live
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