 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 - Pàgina 23per Benjamin Osgood Peirce - 1800 - 135 pàginesVisualització completa - Sobre aquest llibre
 | William Elwood Byerly - 1889 - 420 pàgines
...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. _ __... | |
 | 1889 - 40 pàgines
...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 - 1888 - 424 pàgines
...— > 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 - 1902 - 476 pàgines
...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... | |
 | United States. Navy Department. Bureau of Construction and Repair - 1919 - 444 pàgines
...roots of the equation A + Bx — ^ = 0, ife<0 and — < 0. • a— x — c •See note on page 100. By rationalization, or by the aid of reduction formulas, may be obtained the values of the ollowing integrals : dx 1 . . ./ 2 °r smh 2(2 dx _2(2cx + &) " 32VX + 2Tc(nX»VX (2 n- 1) ?X» " 2... | |
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