07-29-2010, 05:15 PM
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.
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.