Electronic Proceedings of the Seventh Annual International Conference on Technology in Collegiate MathematicsOrlando, Florida, November 17-20, 1994Paper C026Trigonometric Representation of [x] |
David FungDepartment of Mathematics Southeastern Louisiana University Hammond, LA 70402 USA Phone: (504) 549-2175 FMAT1804@SELU.EDU | Steve LighDepartment of Mathematics Southeastern Louisiana University Hammond, LA 70402 USA Phone: (504) 549-2175 ligh@selu.edu list of all papers by this author |
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The above equality can be proved by means of properties of trigonometric functions. Using other inverse trigonometric functions, we obtain several forms for [x] as well as other step-liked functions. Moreover, the above equality gives us, among other things, the indefinite integral of [x] as
Keyword(s): Derive, trigonometry, calculus, integrals