230 Compute $\int \frac{\sin(x)}{\sin(x)+\cos(x)}\mathrm dx$ 169 Limit of $L^p$ norm 73 Proof of Frullani's theorem 69 Is there a bijective map from $(0,1)$ to $\mathbb{R}$? 66 Does $\int_0^{\infty}\frac{\sin x}{x}dx$ have an improper Riemann integral or a Lebesgue integral?

### Reputation (150,941)

 +10 Variance of squared random variable +10 Proof of Frullani's theorem +10 Limit of $L^p$ norm +10 Compute $\int \frac{\sin(x)}{\sin(x)+\cos(x)}\mathrm dx$

### Questions (10)

 58 “It looks straightforward, but actually it isn't” 57 Approximating a $\sigma$-algebra by a generating algebra 30 “Too simple to be true” 17 Collection of standard facts about convergence of random variables 17 Closure of the invertible operators on a Banach space

### Tags (345)

 3k real-analysis × 913 1k calculus × 212 2k measure-theory × 952 920 integration × 197 2k functional-analysis × 732 895 sequences-and-series × 293 2k probability-theory × 1150 884 probability × 520 1k convergence-divergence × 546 755 lp-spaces × 314

### Bookmarks (461)

 114 Construction of a Borel set with positive but not full measure in each interval 101 Why are vector spaces not isomorphic to their duals? 55 False beliefs about Lebesgue measure on $\mathbb{R}$ 52 Is every Lebesgue measurable function on $\mathbb{R}$ the pointwise limit of continuous functions? 39 A stronger version of discrete “Liouville's theorem”