New posts in real-analysis

A uniformly continuous function whose integral $\int_0^\infty f(x)dx$ exists converges to zero

real-analysis integration uniform-continuity

Infinite Series Manipulations

calculus real-analysis sequences-and-series online-resources

Existence of a sequence $\{\epsilon_n\}_{n\ge 1}$ such that $\sum\limits_{n=1}^{\infty}\frac{1}{n^{\varepsilon_n}} $ converges

real-analysis sequences-and-series analysis convergence-divergence harmonic-numbers

If $A$ is dense in $\Bbb Q$, then it must be dense in $\Bbb R$.

real-analysis real-numbers

Polynomials and Derivatives

calculus real-analysis

Calculus Question: Improper integral $\int_{0}^{\infty}\frac{\cos(2x+1)}{\sqrt[3]{x}}\text dx$

calculus real-analysis integration definite-integrals improper-integrals

Differences between real and complex analysis?

real-analysis complex-analysis

Calculating $\int_0^1 \frac{\operatorname{arctanh}\left(\sqrt{1-\frac{u}{2}}\right)\sqrt{\frac{2 \pi \sqrt{1-u}}{u-2}+\pi } }{u\sqrt{1-u}} \, du$

calculus real-analysis integration definite-integrals

Question about double limit

real-analysis calculus limits multivariable-calculus limits-without-lhopital

Almost everywhere differentiable function with continuous derivative

real-analysis

How far can we push the Fundamental Theorem of Calculus for Riemann integral?

real-analysis riemann-integration

Do proper dense subgroups of the real numbers have uncountable index

real-analysis abstract-algebra group-theory axiom-of-choice

If $ \int fg = 0 $ for all compactly supported continuous g, then f = 0 a.e.?

real-analysis functional-analysis lebesgue-integral lebesgue-measure almost-everywhere

Continuous Functions and Cauchy Sequences

real-analysis sequences-and-series continuity examples-counterexamples cauchy-sequences

Example for non-Riemann integrable functions

real-analysis integration riemannian-geometry examples-counterexamples

Prove that the sum of two compact sets in $\mathbb R^n$ is compact.

real-analysis compactness sumset

Are the unit partial quotients of $\pi, \log(2), \zeta(3) $ and other constants $all$ governed by $H=0.415\dots$?

real-analysis analytic-number-theory computational-mathematics continued-fractions constants

Proof that $f(x) = x^2$ is continuous ($\delta-\epsilon$)? [duplicate]

real-analysis proof-verification epsilon-delta

How to show that the rotation map $f$ is not a gradient of a convex function?

real-analysis calculus linear-algebra analysis

Can the integral of a function be larger than function itself?

real-analysis convergence-divergence definite-integrals