### Questions (60)

 7 Catenary Cable Problem: Timoshenko (2 solvers since last year only) 5 $\sqrt{11}$ as rational number within $10^{-4}$? 4 Converting cartesian to polar double integral 3 System of differential equations in RC 3 Fourier transform difficulty 2D

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 6 Find the limit $\lim _{n \to \infty}(n!)^{{\frac{1}{n^2}}}$ 4 Minimizing distance between hyperbola and point 3 How to evaluate $\int_{0}^{\pi/2}\frac{\sin(x+\sin x)}{\sin x}\,dx$ 3 Solve $\log_x (4x^{\log_5 x} + 5) = 2log_5 x$ 3 Solve for x : $\sqrt{2}\sin(x)+\sqrt{6}\cos(x) = \sqrt{3} +1$

### Tags (97)

 13 calculus × 24 3 integration × 11 6 real-analysis × 4 3 algebra-precalculus × 4 6 sequences-and-series × 3 3 systems-of-equations × 3 6 analysis 3 trigonometry × 2 6 limits 2 taylor-expansion × 3

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 7 Catenary Cable Problem: Timoshenko (2 solvers since last year only) 0 What is the value of $I^2$ if $I=\int^{\pi/4}_{-\pi/4}\frac{\sqrt{\cos x}}{\left(\sqrt{\cos x}+\sqrt{\sin x}\right)^5}\,dx$?