New posts in improper-integrals

Integrating using Laplace Transforms

calculus improper-integrals laplace-transform

Discussing the Integral of $\exp(-x^n)$

definite-integrals improper-integrals complex-integration

Computing $\int_{\Bbb R^2}e^{-(4x^2+4xy+5y^2)}d(x,y)$

real-analysis integration improper-integrals

Compute $\int_0^\infty\frac{x^a-x^b}{(1+x^a)(1+x^b)}\,dx$

calculus integration definite-integrals improper-integrals

Applications of the Residue Theorem to the Evaluation of Integrals and Sums

integration complex-analysis improper-integrals contour-integration residue-calculus

Improper integral from 1 to infinity $\Rightarrow$ integrated function converges towards zero?

analysis improper-integrals

Integral $\int_0^\infty \frac{|\sin\sqrt{qx}|-|\sin\sqrt{px}|}{x}dx$

calculus integration definite-integrals improper-integrals

I need some help with the integral $\int_0^\infty \frac{x^3}{e^x+1} \, dx$

calculus integration improper-integrals

Evaluating $\int_0^{\pi/2} \log(1 - x \cot x) \, dx\;$ (Is there a closed form?)

integration definite-integrals improper-integrals

Definite integral - closed form: $\int_{0}^{\infty}\cos\left(x^{4} + 1 \over x^{2}\right)\,{\rm d}x$

calculus integration definite-integrals improper-integrals closed-form

A mathematical fallacy concerning the integrability of a function and cancellation

real-analysis integration improper-integrals

Evaluating the integral $\int_0^\infty \frac{x \sin rx }{a^2+x^2} dx$ using only real analysis

calculus real-analysis integration definite-integrals improper-integrals

Given $f,g:[1,+\infty)\to\mathbb{R}$ s.t $\lim _{x\to+\infty}\frac{f(x)}{g(x)}=L>0$. Prove $\int_1^{+\infty}f,\int_1^{+\infty}g$ converge/diverge

real-analysis solution-verification improper-integrals riemann-integration

Proof of Cauchy's Beta Integral $\int_{-\infty}^\infty \frac{dt}{(1+it)^x(1-it)^y}$

calculus complex-analysis integration definite-integrals improper-integrals

Definite Integral of $e^{ax+bx^c}$

definite-integrals improper-integrals

Looking for a rigorous treatment of improper multiple Riemann integrals

multivariable-calculus reference-request improper-integrals

Why is an equation necessarily dimensionally correct?

calculus integration improper-integrals dimensional-analysis

A Problem on Improper Integrals

calculus improper-integrals

How do you Evaluate $\int_{-\infty}^\infty \frac{\cos(x)}{x^2+1}dx$ Without Using Residue Calculus

calculus integration definite-integrals improper-integrals

Prove that $\int_{0}^{+\infty} u^{s-1} \cos (a u) \:e^{-b u}\:du=\frac{\Gamma(s)\cos\left(s\arctan \left(\frac{a}{b}\right)\right)}{(a^2+b^2)^{s/2}}$

calculus real-analysis integration definite-integrals improper-integrals