A Treatise On the Integral Calculus And Its Applications With Numerous Examples
The book A Treatise On the Integral Calculus And Its Applications With Numerous Examples was written by author Todhunter, I. (Isaac), 1820-1884 Here you can read free online of A Treatise On the Integral Calculus And Its Applications With Numerous Examples book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A Treatise On the Integral Calculus And Its Applications With Numerous Examples a good or bad book?
What reading level is A Treatise On the Integral Calculus And Its Applications With Numerous Examples book?
To quickly assess the difficulty of the text, read a short excerpt:
The area between the tractory, the axis of y, and the asymptote is -t~ . (See Ai't. 100, and Ai't. 134. ) 1-i. Find the area of a loop of the curve i/~ (a* + cc") = a;- (a^ — x^). Result -^ (tt - 2). 15. Find the area of the loop of the curve 16aV = Z>V (a^ — 2ax). • Result. ^ ^ ^ SO IG. Find the area of the loop of the curve 2f {a' + x') = {a' - xy-. Result, a" [S V2 log (1 + V2) - 2}. 17. Find the whole area of the curve 2if {a? + x") - ^ay (a' - x") + (a' - xj = 0. Result. AV •] 4 ^— Y . 18.... Find the area of the curve y = c sin - . Lofj sin - from ic — to a; = air. Result. 2ac (1 — log 2). 19. Find the area of the curve -= (-) between x = a and c V«/ X = /3, and /ro??i tJi5 result deduce the area of the hyperbola xy = a* betvyeen the same limits. 20. Find the area of the ellipse whose equation is ax~ + 2hxy + cy" = 1. Result. TT »J{ac — y^) ' 21. Find the area of a loop of the curve r^ = a^ cos 29. Result. -^. T. I. C. 11 1G2 EXAMPLES. 22. Find the area contained by all the loops of the curve r = a sin nd.
User Reviews: