New posts in calculus

Closed form for $\int x^ne^{-x^m} \ dx\ ?$

calculus real-analysis gamma-function

Smoothness of $\frac12[W_0(x)+W_{-1}(x)]$ for real $x<0$

calculus complex-analysis analyticity lambert-w branch-cuts

$n^3+n<3^n$ for $n \geq4$ by induction.

calculus real-analysis number-theory induction

Solve differential equation: $f'''(x)=f(x)f'(x)f''(x)$

calculus ordinary-differential-equations

Prove $\sum_{n=0}^\infty(-1)^n(\overline{H}_n-\ln2)^3=-\frac5{16}\zeta(3)$

calculus integration sequences-and-series alternative-proof harmonic-numbers

Solution verification:$\lim_{x\to 2}\frac{\ln(x-1)}{3^{x-2}-5^{-x+2}}$

calculus limits-without-lhopital solution-verification

Is it possible to solve $\frac{dy}{dx}=y^x$?

calculus ordinary-differential-equations

How would I simplify this function $\rho(x)=x+\sqrt{x-\sqrt{x-\sqrt{x+\sqrt{\dots}}}}$

calculus functions radicals nested-radicals

Evaluate $\lim\limits_{n \to \infty} nx_n.$

real-analysis calculus sequences-and-series limits

What is $\lim_{n\to\infty} n (\sum_{k = 1}^{n} \frac{1}{\sqrt {n^2 + k}} - 1)$?

calculus limits

Cubic addition and differentiablility

calculus limits derivatives

Integrating $\log(x)\cdot\exp(x)$

calculus integration

The continuity of multivariable function

calculus differential-geometry

Integrate : $\int \frac{\sin x}{\sin4x} \,dx$

calculus integration

This integral is defined ? $\displaystyle\int_0^0\frac 1x\:dx$

calculus analysis

Calculate $\pi$ precisely using integrals?

calculus integration pi circles

The Supremum and Bounded Functions [duplicate]

calculus

how can we convert sin function into continued fraction?

calculus real-analysis functions

Evaluate $\int_0^\pi\frac{1}{1+(\tan x)^\sqrt2}\ dx$

calculus integration

taylor's formula in $\mathbb{R}^n$ as exponential of derivative operator

calculus multivariable-calculus taylor-expansion