Can any one explain me about Integrals and derivatives in breif

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Homework Help Overview

The discussion revolves around the concepts of integrals and derivatives, fundamental topics in calculus. The original poster seeks a brief explanation of these concepts, indicating a need for foundational understanding.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants provide references for graphical understanding and suggest that the request may require extensive material typically covered in university courses. Some attempt to clarify the concepts by describing the derivative as the slope of a graph and the integral as the area under a curve.

Discussion Status

The conversation includes various attempts to explain the concepts, with some participants offering resources and others providing initial explanations. There is no explicit consensus, but the discussion is progressing with multiple perspectives being explored.

Contextual Notes

The original poster's request suggests a lack of prior knowledge, and the responses indicate the complexity of the topic, with references to external resources for further learning.

srikar97
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Homework Statement



can anyone explain me about Integrals and derivatives in brief

Homework Equations


The Attempt at a Solution

 
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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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