Examples of the Processes of the Differential And Integral Calculus
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In our eReader you can find the full English version of the book. Read Examples of the Processes of 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 Examples of the Processes of the Differential And Integral Calculus
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To quickly assess the difficulty of the text, read a short excerpt:
CHAPTER I.
INTEGRATION OP FUNCTIONS OP ONE VARIABLE.
The fundamental formulae to which all integrals are reduced are the following.
(a) fdx x" = n + 1 except when n = - 1, in which case dx /aw — = log X, X , . r dx . , m ■' in (I) fdx (sec xY - tan x.
246 INTEGRATION OF FUNCTIONS OF ONE VARIABLE.
By simple algebraic transformations we may frequently put an integral into a shape in which one or other of the preceding formulae is at once applicable.
(1) / =_ / = --log (a + 6a?").
^^ J a + hw'' n...bJ a + bo)" nb ^^ r da) r doc ^ r d{a-x) ^^' J{2aw-x')^^ J {o'-ia-wfY^^' J {ar-{a-wyY^ a — CO x = cos ~ ^ = vers ~ ^ - .
a a dcV , i(x^ + 2ax)^ + cV + a] (^> i(^^T^i = ^^q— ^^ }• ^ ^ J (a* - x')'^ " 2 j {«* - (a^yyi 2 sin ^.
^^ Ja' + x'~ ^J a^ + {wy ~ 2a^ W) ' /' dx X r d {x^ — a^)\ y"^ J {(x^ - a') {W -x')Y^ J {¥ -a^- {x" - a^)\l J a + ox + ex c J = sm dx \ "^2c/ b\^ 40, or
What to read after Examples of the Processes of the Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Gregory, Duncan Farquharson, 1813-1844 to read online MoreLess
To quickly assess the difficulty of the text, read a short excerpt:
CHAPTER I.
INTEGRATION OP FUNCTIONS OP ONE VARIABLE.
The fundamental formulae to which all integrals are reduced are the following.
(a) fdx x" = n + 1 except when n = - 1, in which case dx /aw — = log X, X , . r dx . , m ■' in (I) fdx (sec xY - tan x.
246 INTEGRATION OF FUNCTIONS OF ONE VARIABLE.
By simple algebraic transformations we may frequently put an integral into a shape in which one or other of the preceding formulae is at once applicable.
(1) / =_ / = --log (a + 6a?").
^^ J a + hw'' n...bJ a + bo)" nb ^^ r da) r doc ^ r d{a-x) ^^' J{2aw-x')^^ J {o'-ia-wfY^^' J {ar-{a-wyY^ a — CO x = cos ~ ^ = vers ~ ^ - .
a a dcV , i(x^ + 2ax)^ + cV + a] (^> i(^^T^i = ^^q— ^^ }• ^ ^ J (a* - x')'^ " 2 j {«* - (a^yyi 2 sin ^.
^^ Ja' + x'~ ^J a^ + {wy ~ 2a^ W) ' /' dx X r d {x^ — a^)\ y"^ J {(x^ - a') {W -x')Y^ J {¥ -a^- {x" - a^)\l J a + ox + ex c J = sm dx \ "^2c/ b\^ 4
What to read after Examples of the Processes of the Differential And Integral Calculus?
You can find similar books in the "Read Also" column, or choose other free books by Gregory, Duncan Farquharson, 1813-1844 to read online
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