Calculus is the mathematics of change and involves differentiation and integration. Differentiation determines how something changes, such as rates of increase and decrease. Integration combines small pieces together to determine whole amounts. Calculus has many applications across diverse fields including engineering, science, economics, biology and more. It is used in building design, robotics, vehicle safety, astronomy, mapping, medical diagnosis, and other areas.

1. Application Of
Integration

2. ABOUT!
Course Title: Mathematics l
Course Code: MAT111
Course Teacher: MD Abdul Halim
Student Name: MD. Musfiqur Rahman Foysal
Student ID: 163-15-8489
Section: E

4. What is calculus?
■The word Calculus comes from Latin
meaning "small stone“. Because it is like
understanding something by looking at small
pieces.
■Calculus originally meant “mathematics”.
■Derived from the Latin “calx” (counter) –
ancient Babylonians would use pebbles to
represent units, tens, hundreds, etc, on a
primitive abacus.
■Later, defined as measuring varying rates of
change.

5. ■Differential Calculus: Cuts something
into small pieces to find how it changes.
■Integral Calculus: Joins (integrates) the
small pieces together to find how much
there is.
Types of Calculus

6. ■Indefinite integrals
■Definite integrals
■Improper integrals
■Double integrals
■Triple integrals etc
Many Related Integrals

7. ■CANTOR
STIELTJES
LEBESGUE
WIENER
ITO
FEYNMAN
HENSOCK
Some Mathematicians

8. ■EUCLID
ARCHIMEDES
BARROWS
NEWTON
TAYLOR
WEIERSTRASS
RIEMANN
Some Mathematicians

9. ■Businesses today use several applications and require
them to be integrated so that business processes as a
whole, perform seamlessly. However application
integration solutions are often processes themselves and
take long to implement.
■Automation Anywhere can integrate disparate
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An easy to use interface, drag and drop capability and
intelligent integration technology offers quick and reliable
integration. .
Application Integration

10. ■Automation Anywhere can integrate disparate
applications in just couple of days without
programming. An easy to use interface, drag and
drop capability and intelligent integration
technology offers quick and reliable integration.
■Automation Anywhere offers a powerful Windows
integration adapter, Web integration adapter and
legacy integration adapter that allows you to
integrate with any Windows, web or legacy
application quickly.
Automation Anywhere

11. ■Automation Anywhere also offers powerful and easy
to use specific application adapters for custom
applications, databases, Java applications, FTP, Telnet,
mainframes, ERP applications, Excel, Internet Explorer
browser, email, File Systems and many more.
Automation Anywhere

12. Calculus is Everywhere
The differentiation integration of calculus have
many real-world applications from sports to
engineering to astronomy
and space travel

13.  -Archimedes is the founder of surface areas and
volumes of solids such as the sphere and the cone.
His integration method was very modern since he
did not have algebra, or the decimal representation
of numbers
 -Gauss was the first to make graphs of integrals,
and with others continued to apply integrals in the
mathematical and physical sciences.
 -Leibniz and Newton discovered calculus and
found that differentiation and integration undo
each other
History of Integration

14.  Integration initially developed for better
navigation system.
 Engineers use Integration for building
skyscrapers , bridges.
 In robotics Integration is used how robotic parts
will work on given command.
 Electrical and Computer engineers use
Integration for system designing
 Integration is used to improve safety of vehicles.
Integration in The Engineering Field

15.  Isaac Newton developed the use of calculus in
his laws of motion and gravitation.

 Astronomical science deeply depend on calculus.
 Space technology use calculus in many ways.
 Calculus is used to build tracks.
Integration in Science

16.  To study the interaction of different species within an
ecosystem Integration is used.
 The concentration of drugs in a living organism can be
answered with calculus (Integration ).
 Physical attributes, such as backbone length and skull
length measured by Integration .
 Integration is used for measuring growth rate of bacteria
and certain species.
Integration in Biology

17.  Functions and derivatives of calculus are relate
to relevant concepts in economics.
 Economic research uses Integration functional
relationships , relation of income , market
prediction etc.
 Integration is used to find optimum solutions of
economics.
 Integration also used for max efficiency or
products or to minimize their costs.
 Credit card companies use Integration for
monthly payments.
Integration in Economics

18.  Business and politicians often conduct surveys
with the help of Integration.
 Investment plans do not pass before
mathematicians approves.
 Doctors often use Integration in the estimation of
the progression of the illness.
 Global mapping is done with the help of
Integration
 Integration also used to solve paradoxes.
Integration in Other Fields

19. ■The concept of Very-large-scale integration (VLSI) is the
part of semiconductor and communication technologies.
It is integrated circuits on a single chip. It is the first
semiconductor chips that held one transistor. The
microprocessor is a VLSI device. It involves
implementation and designing of circuits. It provides
computational speed with minimum power dissipation
and circuit board area. This paper covered the evolution of
VLSI design concepts and methodologies used such as
future challenges, fabrication process, limitations, and
some applications.
Very Large Scale Integration
Design and Its Applications

20. ■Moment of inertia
■Vector calculus
■Computer telephony
■Stochastic integration
■Measure sensor network
■Code and Debug your applications
Applied In

21. Thankyou