Unit 8: Applications of Integration

Let [math] be the region enclosed by [math] and [math] for [math].

Let [math] be the region bounded by [math], [math], and [math].

Consider the curve [math] for [math].

The base of a solid is the region bounded by [math] and [math].

A spring has natural length 0.5 m and requires a force of 20 N to stretch it to 0.7 m.

Let [math] on [math].

People enter a concert venue at rate [math] people per hour and leave at rate [math] people per hour, for [math] hours.

Let [math] be the region bounded by [math], [math], [math], and [math].

A population grows at rate [math] individuals per year. The initial population is [math].

Consider the area enclosed by the cardioid [math].