X A +Bx — я? = 0, if с < 0 and — < 0. — с By rationalization, or by the aid of reduction formulas, may be obtained the values of the following integrals : 120 121. 20. f _^L = -^log(Vx + x Vc + -V), if с > 0. J VX V^ V 2^cJ VA A Short Table of Integrals - Page 23by Benjamin Osgood Peirce - 1800 - 135 pagesFull view - About this book
| William Elwood Byerly - Calculus, Integral - 1889 - 420 pages
...where a and ß are the roots of the equation \a — X A +Bx — я? = 0, if с < 0 aud — < 0. — с By rationalization, or by the aid of reduction formulas,...be obtained the values of the following integrals : 120. -= rlog(x + x Ve + -- if Vx Vc л 2 Ve/ 121. --=_8щ--- ifc<0. Vc Wb!-4ac/ 122. ' 128. _ __... | |
| Integrals - 1889 - 40 pages
...where a and ß are the roots of the equation ila — X A +Bx — of = 0, if с < 0 and — < 0. — с By rationalization, or by the aid of reduction formulas,...be obtained the values of the following integrals : 120. = _log* + a!Vi + --if 00. J VX Vc 121. Vc Wb2-4oc 122. Г " J 123. . Г <to _2(2ciB '•J X"VX~'(2n124.... | |
| William Elwood Byerly - Calculus, Integral - 1888 - 424 pages
...— > 0. — c , where o and ft are the roots of the equation A +Bx — 3? = 0, if c < 0 and — < 0. By rationalization, or by the aid of reduction formulas,...be obtained the values of the following integrals : 120. f-^L = -LlogfVX + x Vc + -V), if c> 0. J Vx V^ V 2 Vc/ 121. i Vx Vc 122. C dx^_2(2cx + J X-^X... | |
| William Elwood Byerly - Fourier series - 1902 - 476 pages
...a and ß are the roots of the equation Ла — X A +Bx — я? = 0, if с < 0 and — < 0. — с By rationalization, or by the aid of reduction formulas,...be obtained the values of the following integrals : 120 121. 20. f _^L = -^log(Vx + x Vc + -V), if с > 0. J VX V^ V 2^cJ VA' Vc 122. Г •/ 128. Г... | |
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