Treatise On the Differential And Integral Calculus
Treatise On the Differential And Integral Calculus
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In our eReader you can find the full English version of the book. Read Treatise On the Differential And Integral Calculus Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Treatise On the Differential And Integral Calculus
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To quickly assess the difficulty of the text, read a short excerpt:
-i + g. /; dx dx dx r do . Dp or if any differential coefficient can be divided into two parts, one of which is a function of a?, as p, and the other the differential coefficient of a known function q\ then w, the required function, is equal to the product of p and q minus the integral of q multiplied by the differential coefficient of p.
The utility of this method depends upon the function q . — being less complicated than the original differential G/tV coefficient.
Ex. 1. Let — = 07^1 + ^vy =... x\x(l + x'f. Dx do Here p = x^, — - =, r (l -f ^v^' ; dx d3! ' ^ ' ' ' 2. 3 2. 3 X 2. 3 ^" 2. 4 294 INTEGRAL CALCULUS.
du 1 Ex. 2. Let dx {ar' + iy 1 x^ + I x^ 1 Now -r-z r:— 7 = y—. ^ = ^—. -c^ + Or^ + If-' {x^ + 1)" 0^2 + 1)" {x" + If ' . F ^ ^ f ''' if ' • ' J, {x' + ly J, (x' + ly J. {x' + ly-' ' « X^ X But -— — = X.
(x^- + 1)" {X' + 1)" do V Here p = x, and -— = —--^ = x (x^ + l)~" ; ^ dx {x^ + 1)" ' dp 1 r X^ - X 1 r I Jx {x~ + 1)" ~ (2w-2)(a?'+ 1)"-' ^ 2n-2 'X(a?' + l)"-' ' /•I 1 a?
What to read after Treatise On the Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by T G Hall to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
-i + g. /; dx dx dx r do . Dp or if any differential coefficient can be divided into two parts, one of which is a function of a?, as p, and the other the differential coefficient of a known function q\ then w, the required function, is equal to the product of p and q minus the integral of q multiplied by the differential coefficient of p.
The utility of this method depends upon the function q . — being less complicated than the original differential G/tV coefficient.
Ex. 1. Let — = 07^1 + ^vy =... x\x(l + x'f. Dx do Here p = x^, — - =, r (l -f ^v^' ; dx d3! ' ^ ' ' ' 2. 3 2. 3 X 2. 3 ^" 2. 4 294 INTEGRAL CALCULUS.
du 1 Ex. 2. Let dx {ar' + iy 1 x^ + I x^ 1 Now -r-z r:— 7 = y—. ^ = ^—. -c^ + Or^ + If-' {x^ + 1)" 0^2 + 1)" {x" + If ' . F ^ ^ f ''' if ' • ' J, {x' + ly J, (x' + ly J. {x' + ly-' ' « X^ X But -— — = X.
(x^- + 1)" {X' + 1)" do V Here p = x, and -— = —--^ = x (x^ + l)~" ; ^ dx {x^ + 1)" ' dp 1 r X^ - X 1 r I Jx {x~ + 1)" ~ (2w-2)(a?'+ 1)"-' ^ 2n-2 'X(a?' + l)"-' ' /•I 1 a?
What to read after Treatise On the Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by T G Hall to read onlineMoreLess
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