TeXipedia

intop

Represents a standalone integral operator without limits, providing a more compact alternative to the standard integral symbol.

Overview

Functions as a specialized variant of the integral operator, particularly useful in mathematical expressions where vertical space is limited or when a more condensed notation is preferred.

  • Commonly used in theoretical physics and advanced mathematics where multiple integrals appear in sequence.
  • Maintains consistent spacing and alignment in complex mathematical expressions.
  • Particularly valuable in displayed equations where standard integral symbols might create excessive vertical spacing.
  • Often preferred in publications and technical documents where space efficiency is crucial.

Examples

Definite integral with explicit operator spacing, showing integration of x squared from 0 to 1.

∫01x2 dx=13\intop_0^1 x^2 \, dx = \frac{1}{3} 
\intop_0^1 x^2 \, dx = \frac{1}{3}

Multiple integral with explicit operator spacing, demonstrating volume calculation.

∫V∫∫dx dy dz=8\intop_V \intop \intop dx\,dy\,dz = 8 
\intop_V \intop \intop dx\,dy\,dz = 8

Line integral with explicit operator spacing, showing work done along a path C.

W=∫CF⋅drW = \intop_C F \cdot dr 
W = \intop_C F \cdot dr