MTH101 - Calculus And Analytical Geometry GDB Announcement 27 July 2010

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Opening Date of Graded Discussion Board: 27th July 2010 at 9:30am
Closing Date of Graded Discussion Board: 28th July 2010 at 11:59pm

The topic for Graded Moderated Discussion Board is

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"Do you think that FUNDAMENTAL THEOREM OF CALCULUS is one of the biggest achievement in the history of Calculus? If yes then discuss its features in detali. Also write down 3 apllications of Integration in daily life."

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the answer is YES.
Before it was discovered, everyone who want to find the area bounded by x=a, x=b, y=f(x) and x-axis, must find it by doing some "limit of sum of f(e) delta(x)."
But since fundamental discovered, we can use integral to find it.
If you want me to write down 3 application of integration in daily life,
all of daily life that need to find area below y=f(x) are the applications.
Applications :
1- Integration can be traced as far back as ancient Egypt ca. 1800 BC, with the Moscow Mathematical Papyrus demonstrating knowledge of a formula for the volume of a pyramidal frustum.
2- This method was later used in the 5th century by Chinese father-and-son mathematicians Zu Chongzhi and Zu Geng to find the volume of a sphere
3- This method was further developed and employed by Archimedes and used to calculate areas for parabolas and an approximation to the area of a circle. Similar methods were independently developed in China around the 3rd century AD by Liu Hui, who used it to find the area of the circle.