Integral
Adjective
US
/ˈɪntɪɡrəl/
UK
/ˈɪntɪɡrəl/
US
/ˈɪntɪɡrəl/
UK
/ˈɪntɪɡrəl/
Fundamental or essential; in calculus, the mathematical operation of integration.
Integration is the integral operation in calculus, the inverse of differentiation.
Finding the area under a curve requires computing the integral of the curve's equation.
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Integrals can represent area, volume, or accumulation. The fundamental theorem of calculus connects integrals and derivatives, showing they are inverse operations—one of mathematics' most profound relationships.
Essential in physics, engineering, and economics for calculating areas, volumes, and accumulated quantities.
Engineers use integrals to calculate the volume of complex shapes and the center of mass of objects.