Episode #125 of the Stack Overflow podcast is here. We talk Tilde Club and mechanical keyboards. Listen now

 15 How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? 8 How to derive this formula: $\int_a^bf(c-x)dx = \int_{c-b}^{c-a}f(x)dx$? 5 Can we say that $\det(A+B) = \det(A) + \det(B) +\operatorname{tr}(A) \operatorname{tr}(B) - \operatorname{tr}(AB)$. 4 Integral of root of $\sec x$ 4 What is the way of integrating $\dfrac{-e^x\sin x}{e^x+1}$?

Reputation (2,378)

 -2 Question about the definition of a semialgebra +5 What are the n-fold derivative of a Legendre transformed quantity? -2 Do commutative matrices share the same eigenvectors? +10 Reference request: Carnot Algebra

Questions (39)

 11 What is the purpose of K-Theory? 8 Topological invariants by integrals 5 How to show $\int_0^{\infty} \frac{\sin(bx)\sin(x)}{x^2} \prod_{k=1}^n \cos^{p_k}(a_kx) \, \text{d} x= \frac{\pi}{2}$? 5 Manifold is cut along hypersurfaces; how to define a connection on this? 5 How to find the definite integral $\int_0^\infty \frac{x}{\sinh ax}\;dx$

Tags (172)

 32 calculus × 51 15 proof-explanation 28 integration × 31 13 definite-integrals × 8 21 trigonometry × 7 12 linear-algebra × 19 16 limits × 14 11 matrices × 16 15 limits-without-lhopital 9 ordinary-differential-equations × 17

Accounts (9)

 Mathematics 2,378 rep 11 gold badge88 silver badges2525 bronze badges Physics 1,827 rep 77 silver badges2020 bronze badges Biology 141 rep 55 bronze badges Academia 124 rep 22 bronze badges Chemistry 109 rep 44 bronze badges