Formula

Tags

• antiderivative
• convergence
• integral improper
• integrals improper intervals infinite

Explore the idea

Variables

• $x$Variable independiente (variable de integración)
• $a$Constante real (a menudo $a>0$)
• $b$Real constant
• $f$Función integrando
• $dx$Diferencial respecto de $x$

Related formulas

• Related

  Formula

  $$\int_{-\infty}^{b}f(x)\,dx =\lim_{a\to-\infty}\int_a^b f(x)\,dx$$
  Open formulaOpen in section

• Related

  For both infinite endpoints, we choose a point $c$:

  $$\int_{-\infty}^{\infty}f(x)\,dx =\int_{-\infty}^{c}f(x)\,dx+ \int_c^{\infty}f(x)\,dx.$$
  Open formulaOpen in section