A Short Table of Integrals
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,./. ^, ^^ ^^ , J ir-Z» Vx (^ - l)aar^-^X- " • , (27i+2m--3)^ r <: i="" ..="" a="" j="" ic="" vx="" c="" dx="" .="">y^ +m — 2)c r dx (m-l)a J x™-2X»Vx X ' Digitized by VjOQ^IC 18 IRRATIONAL ALGEBRAIC FUNCTIONS Jaf^Vx" (rn^l)ar-^^ 2(m^l)J ^-i^/J (2n-l)c r X^'^dx m-1 J X'^-^Vx ^ ^ r dx 1 ^ ,2h'\'m(a'-^b'x) 154. I 7= = — , . tan"^ , — ^j J (a' + b'x ^ ' - --■ '^^ ic)Vx V-A 2V^-hX or ~7t^^^ — — ^ — rrrr ' where m = ftft' — 2 a'c and A = a^'* — a'bb! -f ca".
If ^ = 0, the value of the integral is — 2 ft' Vx/[m(a'+ b*x)'\.
D. Miscellaneous Algebraic E...<: i="" ..="" a="" j="" ic="" vx="" c="" dx="" .="">xpressions 155. / V2 ax - o^ ^aj = ^ [(a; - a) V2aa;-ic2 + a* sin-^^J - «)/«].
156. r ^ ^- =cos-^(^.
,„ r ^^ ^ tan-- J '^> + ^^> .
or 158 VftV >ft(a' + b'x) k-\-2b-y/a' + b'x 4:bb' y/(a + bx)(a'-^b'x) I y/(a'^bx)(a'-^b'x)dx = _ ^ r ^ ^^ IJc = aft'- a'ft].
Sftft'J Va + ftaJ- ■Va'-\-b'x 159. r l ^' + ^^^ 7 'y/a-\-bX' Vg'+ft'a; A; /^ f^ J Sa + bx " ft 2ftJ Va + fta;Va' + ft'a;' 160.
What to read after A Short Table of Integrals?
You can find similar books in the "Read Also" column, or choose other free books by B O Benjamin Osgood Peirce to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
,./. ^, ^^ ^^ , J ir-Z» Vx (^ - l)aar^-^X- " • , (27i+2m--3)^ r <: i="" ..="" a="" j="" ic="" vx="" c="" dx="" .="">y^ +m — 2)c r dx (m-l)a J x™-2X»Vx X ' Digitized by VjOQ^IC 18 IRRATIONAL ALGEBRAIC FUNCTIONS Jaf^Vx" (rn^l)ar-^^ 2(m^l)J ^-i^/J (2n-l)c r X^'^dx m-1 J X'^-^Vx ^ ^ r dx 1 ^ ,2h'\'m(a'-^b'x) 154. I 7= = — , . tan"^ , — ^j J (a' + b'x ^ ' - --■ '^^ ic)Vx V-A 2V^-hX or ~7t^^^ — — ^ — rrrr ' where m = ftft' — 2 a'c and A = a^'* — a'bb! -f ca".
If ^ = 0, the value of the integral is — 2 ft' Vx/[m(a'+ b*x)'\.
D. Miscellaneous Algebraic E...<: i="" ..="" a="" j="" ic="" vx="" c="" dx="" .="">xpressions 155. / V2 ax - o^ ^aj = ^ [(a; - a) V2aa;-ic2 + a* sin-^^J - «)/«].
156. r ^ ^- =cos-^(^.
,„ r ^^ ^ tan-- J '^> + ^^> .
or 158 VftV >ft(a' + b'x) k-\-2b-y/a' + b'x 4:bb' y/(a + bx)(a'-^b'x) I y/(a'^bx)(a'-^b'x)dx = _ ^ r ^ ^^ IJc = aft'- a'ft].
Sftft'J Va + ftaJ- ■Va'-\-b'x 159. r l ^' + ^^^ 7 'y/a-\-bX' Vg'+ft'a; A; /^ f^ J Sa + bx " ft 2ftJ Va + fta;Va' + ft'a;' 160.
What to read after A Short Table of Integrals?
You can find similar books in the "Read Also" column, or choose other free books by B O Benjamin Osgood Peirce to read onlineMoreLess
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