INTEGRATION IN REAL LIFE

INTEGRATION IN REAL LIFE

1. Integration replaces summation when the being summed over are continuous. An example of this is in physics when the moment of inertia is first thought of by summing up the masses of tiny parts of an object times that tiny masses distance from a set point squared. This can be generalized to saying that the integral of a derivative from a to b is the change in the object that was differentiated originally from a to b.

2. The moment of inertia , otherwise known as the angular mass or rotational inertia , of a rigid body is a tensor that determines the torque needed for a desired angular acceleration about a rotational axis. The second moment of mass with respect to distance from an axis r,

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