Area Under The Curve
The area of the region bounded by the graph of function
f(
x) and the x-axis for a ≤ x ≤ b, is given by the definite integral
.
Polar Coordinates
Polar coordinates use a two-dimensional coordinate system where each point is represented by a distance and angle from a fixed point.
Volumes Of Solids Of Revolution
The volume of the solid figure obtained by rotating a curve around a straight line.
Disk Method
This is a method for finding the volumes of solids of revolution when the cross sections are taken perpendicular to the axis of revolution and the axis is the boundary of the plane region.
Washer Method
This is a method for finding the volumes of solids of revolution when the cross sections are taken perpendicular to the axis of revolution and the axis is
not the boundary of the plane region.
Arc Length
The arc-length of a continuous function
f(
x) on a closed interval [a,b] is defined as
.
Parametric Equations
The equations in which rather than the coordinates
x and
y being defined in terms of each other, they are defined in terms of another parameter
t.