Does anybody know what is the application of Integral calculus and differential calculus?

I use it every day when I calculate the health of a patients' kidneys, liver, stomach, or any organ that functions. How fast the kidney uptakes and excretes radioisotopes tells me if someone is ok, in trouble, or may get very sick. Referring doctors and patients thank me every day for saving their lives.

I also use it almost every day when I analyze the markets. There's no better incentive to learn how to use math than realizing that you can make $$ doing it! Whoever figures out the secret formula that can predict market behavior, wins! And calculus gives me a huge edge over run-of-the-mill loser day-traders.

To your success with numbers! If you know how to read numbers, you can always tell if someone is lying to you. That's power!

It is amazing just how often things come along that I find I can solve real world problems with some aspect of calculus much quicker than using any other method. I'm not working in any particular field where it is useful, but I do have a rather curious mind, and sometimes come up with curious problems that I can solve on my own as a result of questions I ask about different situations. As a general rule, I find that integration is something I use more than differentiation, but that may have more to do with the types of problems I encounter and think up than one being more important or useful than the other. I do use algebra and some geometry regularly to solve similar problems as well.

Sadly you have to get really good at calculus before you can begin to see the endless applications that it has to everyday life. Essentially, every time you want to construct a mathematical model of the real world, or of some component of "everyday life" you will find that calculus is necessary to make that model realistic.

It requires patience because first you have to invest much time into the formal operations of the techniques before you can learn how to apply them.

Learning how to integrate sine to the sixth power is about as related to the applications of calculus as learning about the subjunctive and gerund is to writing a poem: in one respect the mechanics of the field are completely disconnected with its actual application; on the other hand, good poets have to have some understanding of good grammar. Same goes for math.

Integration is reverse process to differentiation. If you are talking about indefinite integral it has lot many formulae to remember. For definite integral its only arithmetical calculations. The difficulty Level depends on what you will be learning and in which part of the world. If you make the question more informative, it will be better. But asking your seniors about it will be a good idea.

Since I'm still at school, all I've seen for it's applications is finding out how far a jogger has ran if your given a speed, and working out how much material will be needed for designers of kites ans stuff.

There are more thrilling uses of it out there.

Try the installations of electrical cables from towers. I was told once this is a good application.