The Indefinite Integral

Keyword(s):  
2016 ◽  
Vol 14 (1) ◽  
pp. 125
Author(s):  
Ummu Sholihah ◽  
Dziki Ari Mubarok

This research aims to describe the understanding ofmathematics Tadris students of  IAIN Tulungagungabout  indefinite integral understanding of APOS theory. The subjects of research are six students. Each two have  high, average, and low abilities. The result of the research indicated that the understanding ofmathematics Tadris (TMT) students of  IAIN Tulungagung about indefinite integral understanding on actionaspect of APOS theory, high students achieve all of understanding indicators, for average students also achieve  all of understanding indicators, meanwhile for low students achieve one indicator of two indicators. On process aspect, high students achieve all of understanding indicators and average students achieve all of understanding indicators too. Meanwhile low students achieve one indicator of three indicators. On objectaspect,high students achieve all of understanding indicators and average students achieve one indicator of three understanding indicators. Meanwhile for low students do not achieve all of understanding indicators. On schemeaspect, high students achieve all of understanding indicators and for average students achieve two understanding indicators. Meanwhile for low students achieve only one  indicators


2020 ◽  
Vol 27 (1) ◽  
pp. 121-131
Author(s):  
Giorgi Oniani ◽  
Kakha Chubinidze

AbstractWe study the dependence of differential properties of an indefinite integral on a rotation of the coordinate system. Namely, the following problem is studied: For a summable function f, what kind of a set may be the set of rotations θ for which {\int f} is not differentiable with respect to the θ-rotation of a given basis B? For translation invariant bases B formed by two-dimensional intervals, some classes of sets of singular rotations are found. In particular, for such bases with symmetric structure, a characterization of at most countable sets of singular rotations is found.


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