Integral Tables: Or, A Collection of Integral Fomulæ |
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2cx+b ²X² 3a²x 3ax³ 4a²x 4ax¹ a+bx a+bx² a²x a²x² a³x a⁹ arc cosec arc cot arc sec arc sin vers arc tang ax² aX³ bx² bx³ Cdo sin CdxX CdxX+ const cos³ cosp Cx dx cx² Cxdx differential dr xX dx dx dx VX dx X dx X dx dx X+ dx X2 dx xm dx XP dx xX dx/X dxX+ dxx² dxXP fdxx Formulæ of Reduction fraction fxdx integral log tang negative rational function Sdxx Sdxx+ TABLE U₁ VX dx X dx X xdx X+ dx x+dx x²+a x²√x x²dx X³√X x³dx x7dx x7X+ x8dx xdx X xdxX xm+1 xmdx xodx Xp+1 xX dx απ ασ ენ
Popular passages
Page xvii - Integral may be reduced to one more simple ; and, this again, to one yet more simple, and so on.
Page 108 - ... is negative. Both a and 6 cannot be negative at the same time. Hence, we have V(± e ,a— 5z* С dz l ..61 [I. I __— _— arc unxv~ = — TV arc cos 0—26...
Page 28 - The first form is real when 4ac — b* is positive ; the second is so when 4ac — 6s is negative.
Page 112 - V а/ the first of which is real, when a is positive ; the second, when а s negative : a and 6 cannot both be negative at the same time.
Page 154 - The first form is real, when a is positive ; the second when a is negative. Hence it follows that : т f _EI _ f L ' J *v* J «ve« da; , , л = ± — loe —