Can any one explain me about Integrals and derivatives in breif

AI Thread Summary
Integrals and derivatives are fundamental concepts in calculus. The derivative of a function at a specific point indicates the slope of the graph at that point, allowing for easier analysis without graphing. Conversely, the integral calculates the area under the curve between two points on the x-axis. While this explanation provides a basic understanding, calculus encompasses much more complex applications and theories. For further learning, resources like MIT's open courseware can be beneficial.
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Homework Statement



can anyone explain me about Integrals and derivatives in brief

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A good reference to understand graphically what is happening can be found here http://hyperphysics.phy-astr.gsu.edu/hbase/math/derint.html" .
 
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srikar97 said:

Homework Statement



can anyone explain me about Integrals and derivatives in brief
You seem to be asking for the equivalent of several university level lecture courses. Sadly, this is impossible in a forum setting such as this. You might try searching for some relevant lecture notes on the internet, in particular, MIT's site is extremely useful: http://ocw.mit.edu/index.htm
 
srikar97 said:
can anyone explain me about Integrals and derivatives in brief

I'll try. You know that an equation can be plotted on a set of x-y axes. Well, the derivative of that equation at any value of x tells you the slope of that graph at that value of x (so this saves you having to draw the graph and trying to work out the approximate slope that way).

The integral of that equation between any two values of x tells you the area between the graph and the x-axis, and bounded by those two x values. This saves you having to draw the graph and trying to work out the approximate area, perhaps by counting squares and fractions of squares.

This is just a start, of course. Calculus can do much more.
 
thank you all for the help!
 
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