Definition of the integral. Signed area. Geometric evaluation and symmetries. Interval additivity property.

Questions answered by this video:

What is a definite integral?

How do you find an integral?

What is an augmented partition of a closed interval?

What is a Riemann Sum?

What is the norm of a partition?

When is a function integrable on an interval?

How do you find the integral of a piecewise function?

What is geometric evaluation of integrals?

How does symmetry affect integrals?

What is the Interval Additivity Property?

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