# Integrability and the Integral of Partial Functions from R into R 1

Noboru Endou; Yasunari Shidama; Masahiko Yamazaki

Formalized Mathematics (2006)

- Volume: 14, Issue: 4, page 207-212
- ISSN: 1426-2630

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topNoboru Endou, Yasunari Shidama, and Masahiko Yamazaki. " Integrability and the Integral of Partial Functions from R into R 1 ." Formalized Mathematics 14.4 (2006): 207-212. <http://eudml.org/doc/267262>.

@article{NoboruEndou2006,

abstract = {In this paper, we showed the linearity of the indefinite integral [...] the form of which was introduced in [11]. In addition, we proved some theorems about the integral calculus on the subinterval of [a,b]. As a result, we described the fundamental theorem of calculus, that we developed in [11], by a more general expression.},

author = {Noboru Endou, Yasunari Shidama, Masahiko Yamazaki},

journal = {Formalized Mathematics},

language = {eng},

number = {4},

pages = {207-212},

title = { Integrability and the Integral of Partial Functions from R into R 1 },

url = {http://eudml.org/doc/267262},

volume = {14},

year = {2006},

}

TY - JOUR

AU - Noboru Endou

AU - Yasunari Shidama

AU - Masahiko Yamazaki

TI - Integrability and the Integral of Partial Functions from R into R 1

JO - Formalized Mathematics

PY - 2006

VL - 14

IS - 4

SP - 207

EP - 212

AB - In this paper, we showed the linearity of the indefinite integral [...] the form of which was introduced in [11]. In addition, we proved some theorems about the integral calculus on the subinterval of [a,b]. As a result, we described the fundamental theorem of calculus, that we developed in [11], by a more general expression.

LA - eng

UR - http://eudml.org/doc/267262

ER -

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