New posts in calculus

Is it possible to calculate this integral

calculus integration

$\int\text{e}^{-ax^2 } \text{erf}\left(bx + c\right) dx$

calculus integration definite-integrals indefinite-integrals error-function

Integration of exponential and square root function

calculus integration complex-analysis definite-integrals

Proving the existence of a point with a certain property for a continuous function

calculus integration functions continuity

How to decide about the convergence of $\sum(n\log n\log\log n)^{-1}$?

calculus real-analysis sequences-and-series analysis convergence-divergence

If $dx/dy =\sin(x)$ then is $dy/dx = 1/\sin(x)$?

calculus derivatives

How to evaluate $ \sum\limits_{n=1}^{\infty} \left( \frac{H_{n}}{(n+1)^2.2^n} \right)$

calculus real-analysis sequences-and-series algebra-precalculus harmonic-numbers

$\lim_{n\to\infty} \frac{1}{\log(n)}\sum _{k=1}^n \frac{\cos (\sin (2 \pi \log (k)))}{k}$

calculus real-analysis sequences-and-series limits

Global Minimum of $f(a) = \int _{-\infty}^{\infty} \exp\left(-|x|^a\right)dx, a\in(0,\infty)$

calculus optimization transcendental-equations

How to calculate $\int_0^\pi \ln(1+\sin x)\mathrm dx$

calculus integration analysis closed-form

Evaluate $\int_0^1\frac{\ln x\ln(1-x)}{1+x^2}\ dx$

calculus integration definite-integrals harmonic-numbers polylogarithm

Improper integral of $\frac{x}{e^{x}+1}$

calculus real-analysis statistics

How to "fix" $\int_{-1}^1 \frac {dx}{x^2}$ with complex numbers?

calculus integration definite-integrals complex-numbers improper-integrals

Ways of showing $\sum_\limits{n=1}^{\infty}\ln(1+1/n)$ to be divergent

real-analysis calculus sequences-and-series convergence-divergence logarithms

A function that grows faster than any function in the sequence $e^x, e^{e^x}, e^{e^{e^x}}$...

calculus functions exponential-function elementary-functions

Math competition problem, prove that $\int_{-\infty}^\infty e^{-\pi x^2 \left(\frac{\alpha +x}{\beta +x}\right)^2}dx=1~$ for $~0<\beta<\alpha$.

calculus integration definite-integrals contest-math closed-form

How to integrate $\int x\sin {(\sqrt{x})}\, dx$

calculus integration indefinite-integrals

Young inequality

calculus integration inequality

Does $\int_{0}^{\infty} \sin^x(x) dx$ converge?

calculus limits trigonometry convergence-divergence

Integration of sawtooth, square and triangle wave functions

calculus integration signal-processing