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 13 trigonometry with alternative parametrizations of the circle 11 Evaluate: $\int{\frac{x^{5}-x}{x^{8}+1}}\:dx$ 9 Different ways of computing $\sqrt{1+\sqrt{1+\sqrt{1+\cdots}}}$ 6 Equilateral triangle geometric problem 6 Difference between calculus and analysis

### Reputation (3,389)

 +10 Why a subspace of a vector space is useful +10 Complex number: calculate $(1 + i)^n$. +10 Complex number: calculate $(1 + i)^n$. +10 airy equation vanish infinitely many times

### Questions (5)

 6 $f(m + f(n)) = f(f(m)) + f(n)$ 5 $\frac{dy}{dx}=1+\frac{2}{x+y}$ solution by an “integrating term” 4 $u''+\frac{4}{x+1}u'+\frac{2}{\left(x+1\right)^{2}}u=0$ variational solution 3 Square integrable gradient and equicontinuity 3 $\frac{dx}{dt}=-\lambda x +\epsilon x(t-a)$ series solution via Laplace method

### Tags (74)

 74 calculus × 31 18 geometry × 9 63 integration × 24 12 indefinite-integrals × 3 28 trigonometry × 6 11 triangle × 4 23 differential-equations × 21 9 multivariable-calculus × 10 22 complex-analysis × 9 9 analysis × 5

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