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Applications of integral calculus?
Integration can be used to calculate the area under a curve and the volume of solids of revolution.
What is the importance of integral calculus in engineering?
Its importance is tremendous - it has many different applications. Some of the applications include calculation of area, of volume, moment of inertia, of work, and many more.
What is a term used in math'?
volume integral
A derivative is to the rate of change as an integral is to?
A derivative is to the rate of change asan integral is to area/volume.
Is integration a way of calculating the volume of the same function equation with an additional dimension or is it always completely new volume rotated about an axis ie a circle to a sphere?
Geometrically the definite integral from a to b is the area under the curve and the double integral is the volume under the surface. So just taking the integral of a function does not yield the volume of the solid made by rotating it around an axis. An integral is only a solid of revolution if you take an infinite sum of infinitesimally small cylinders that is the disk method or you do the same with shells.
