34 Finding the roots $x^4-4x^3-x^2-8x+4=0$ (contest math) 15 How to prove a function is always continuous? 13 Prove that there exists $c\in\mathbb{R}$ such that $f'(c)=f(c)$ 12 (Tournament of towns 1994) Prove the inequality 11 How can I evaluate $\lim_{x \rightarrow 0} \frac{\left(\sqrt{2+x}-\sqrt{2} \right)}{ x}$?

Reputation (4,343)

 +10 Integral $\int \sqrt{1+x^2}dx$ +10 Prove that polynomial doesn't admit a particular solution +20 Find antiderivative $\int (2x^3+x)(\arctan x)^2dx$ +10 Finding the roots $x^4-4x^3-x^2-8x+4=0$ (contest math)

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 9 Product of manifolds & orientability 7 Solvability by radicals of an equation of prime degree 6 Ergodicity of tent map 6 Solving distributional differential equation 5 Property of compact, convex sets in $\mathbb{R}^3$

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 81 calculus × 44 35 contest-math × 2 52 limits × 30 34 roots 42 integration × 23 29 inequality × 13 40 polynomials × 7 23 algebra-precalculus × 10 36 real-analysis × 26 22 ordinary-differential-equations × 22

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