01-28-2011, 05:50 PM
Slotuion fo MTH(101) GDB
Fundamental Theorem of Calculus” is one of the biggest
achievements in the history of Calculus. This valuable Theorem bestowed a
new life to Calculus field.
Because, before it was discovered, everyone who want to find the area
bounded by x=a, x=b, and x-axis, must find it by doing some "limit of sum
of delta(x)."
But since fundamental discovered, we can use integral to find it. So,
If you want me to write down 3 application of integration in daily life,
all of daily life that need to find area below are the applications.
Three useful 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 the
son mathematicians Zu Chongzhi and Zu Geng to find the volume of a sphere.
So they also find that quite useful.
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. Mr. Liu Hui said
that this formula is very great in the history of Calculus.
Fundamental Theorem of Calculus” is one of the biggest
achievements in the history of Calculus. This valuable Theorem bestowed a
new life to Calculus field.
Because, before it was discovered, everyone who want to find the area
bounded by x=a, x=b, and x-axis, must find it by doing some "limit of sum
of delta(x)."
But since fundamental discovered, we can use integral to find it. So,
If you want me to write down 3 application of integration in daily life,
all of daily life that need to find area below are the applications.
Three useful 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 the
son mathematicians Zu Chongzhi and Zu Geng to find the volume of a sphere.
So they also find that quite useful.
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. Mr. Liu Hui said
that this formula is very great in the history of Calculus.