Question

what are the application on integration in engineering field?

Answer 1

1. Applications of the Indefinite Integral shows how to find displacement (from velocity) and velocity (from acceleration) using the indefinite integral. There are also some electronics applications in this section.

In primary school, we learned how to find areas of shapes with straight sides (e.g. area of a triangle or rectangle). But how do you find areas when the sides are curved? We'll find out how in:

2. Area Under a Curve and

3. Area Between 2 Curves



4. Volume of Solid of Revolution explains how to use integration to find the volume of an object with curved sides, e.g. wine barrels.

5. Centroid of an Area means the centre of mass. We see how to use integration to find the centroid of an area with curved sides.

6. Moments of Inertia explains how to find the resistance of a rotating body. We use integration when the shape has curved sides.

7. Work by a Variable Force shows how to find the work done on an object when the force is not constant. This section includes Hooke's Law for springs

Answer 2

here are some real life application of calculus



1. In a manufacturing plant, questions like the quantity of product to be produced to gain profit, profit gained/loss incurred over a certain period and increase in production rate so as to achieve a certain profit are answered by calculus.


2. A radio-controlled (RC) car or drone, you may be using is operated through a microprocessor which uses calculus in it's functioning by using the instantaneous rates of change in speed, altitude, distance etc. to function.



3. In architecture, calculus helps us to find the weight of the roof that can be sustained by beams without fracture and also the max. deflection of the beams caused.
An extension of this could be finding the suitable weight and deflection produced in things as big as bridges.

and many more you can find