29 How to solve the inequality $x^2>10$ using square roots? 11 Asymptotic approximation of the arctangent? 10 Find the limit as $x$ approaches $5$ 8 Factoring the quartic polynomial $x^4-2x^2+1$ 6 Prove that $\left|\sin x\right|\leq|x|,\;\;\forall x\in \Bbb{R}$

Reputation (5,971)

 +5 Proof verification [Function with finitely many discontinuities is integrable] +25 Determine primitive element of constructible points of polynomial +15 Sum $\sum_{n\geqslant 1} \frac{(-1)^n \sin(n\theta)}{n^3}$ using complex analysis +5 Covering map from sphere with six points removed to doubly-punctured complex plane

Questions (47)

 14 Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$ 13 Putnam definite integral evaluation $\int_0^{\pi/2}\frac{x\sin x\cos x}{\sin^4 x+\cos^4 x}dx$ 9 Homotopy equivalence upper triangular matrices and torus 7 Proving that weird topology is compact 6 Covering map from sphere with six points removed to doubly-punctured complex plane

Tags (117)

 115 calculus × 82 29 radicals × 2 109 algebra-precalculus × 48 25 derivatives × 21 52 trigonometry × 34 18 integration × 18 46 limits × 24 17 logarithms × 8 32 inequality × 4 13 vectors × 9

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 Mathematics 5,971 rep 31337