New posts in calculus

Does $f'$ analytic imply $f$ analytic?

calculus real-analysis analyticity

Proving an inequality about the product of integrals

calculus inequality

An interesting series $\sum_{n=2}^{\infty} \sum_{k=0}^{\infty} \frac{1}{(2k+3)^n-1}$

calculus real-analysis sequences-and-series

0 to the power of 0, what does the essential discontinuity actually look like?

calculus real-analysis visualization

Example of distinctions between multiple integral and iterated integrals.

calculus real-analysis integration multivariable-calculus riemann-integration

How to evaluate this notoriously hard exponential integral

calculus integration probability-distributions

One Question about the Fubini's Theorem

calculus real-analysis integration multivariable-calculus

Rotate a point on a circle with known radius and position

calculus geometry circles

How to integrate $f(x) =\exp(-ax-b/x)$?

calculus integration definite-integrals improper-integrals

Prove that if $a_1 + a_2 + \ldots$ converges then $a_1+2a_2+4a_4+8 a_8+\ldots$ converges and $\lim na_n=0$

calculus sequences-and-series proof-verification

Find the value of $\sum_{n =1}^\infty \frac 1 {5^{n+1}-5^n+1}$

calculus sequences-and-series summation

Anti-derivative of continuous function $\frac{1}{2+\sin x}$

calculus integration

Derivative of cot(x)

calculus derivatives

Prove that $\exists x_0, x_1\in (0,1)$, such that $\frac{f'(x_0)}{x_0}+\frac{f'(x_1)}{x_1^2}=5$

calculus functions derivatives

The equation $y'=1+y^4$ blows up in finite time

calculus ordinary-differential-equations

A fun Valentine's day chocolate box optimization problem...

calculus algebra-precalculus optimization

Do any authors take the sheaf-theoretic viewpoint on multivalued functions and/or indefinite integrals?

calculus real-analysis complex-analysis sheaf-theory multivalued-functions

What uniquely characterizes the germ of a smooth function?

calculus real-analysis taylor-expansion analyticity analytic-functions

Generalizing Archimedes' "The Quadrature of the Parabola"

calculus integration geometry ordinary-differential-equations integral-equations

Second derivative of mollification at local maximum

real-analysis calculus partial-differential-equations