Area under a hyperbola

This activity is intended as part of an initial exploration of the properties of the Log function and should be associated with an exploration of powers of 2. Students should explore the area under the function 1/(Log(2)*x) for x>0 by dragging the point A and see how the area from x = 1 to x = x(A) changes. For 0<x<1 the area will be negative. By associating the integral values with the powers of 2, the students should then consider intermediate values, leading to an appreciation of Log, initially presented in the context of integral powers relating an AP to a GP, as a continuous function.

 

wessen

 
자료 유형
활동
태그
area  hyperbola  logarithms 
대상 그룹 (연령)
15 – 18
언어
English (United Kingdom)
 
 
지오지브라 버전
4.2
보기
3354
자료 작성자에게 연락하세요.
 
 
© 2025 International GeoGebra Institute