Integral Calculus
PHYS 110 · Module 5
This module introduces integrals as accumulation, area, and inverse operations to derivatives. Students learn antiderivatives, definite integrals, the fundamental theorem, techniques, and applications to motion, work, charge, and fields.
Lessons in this module
Antiderivatives and indefinite integrals
An antiderivative reverses differentiation. This lesson introduces indefinite integrals, constants of integration, and recovering quantities from rates.
Definite integrals and the fundamental theorem
Definite integrals calculate accumulated change over an interval. This lesson explains area under curves, signed area, accumulation, and the fundamental theorem of calculus.
Integration techniques
Many integrals require strategy. This lesson introduces substitution, integration by parts, symmetry, and practical decision-making for physics problems.
Integration in physics
Integrals calculate accumulated physical quantities. This lesson connects integration to displacement, work, mass, charge, probability, and fields.
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