University:
College
Course:
College Mathematics
Academic year:

2023
Views:

24

Pages:

4
Author:

anon

Table of IntegralsBASIC FORMSINTEGRALS WITH ROOTS(1) fxxdx=(18) [vx-adx==(x-a)^(2) f-dx=1nx(19)(3) Sudv=uv-[vdu(20)(4)(21)RATIONAL FUNCTIONS(22)(5)(23) =(6)(24)(7) n - 1(25)(8)(9) State(26)(10)(27)(11)(28)(12)4a3/2(13)=(29)(14)B'In(2Vavx+2vb+ar)8a5/2(15)(30) x+xa(16)(31)2a(17)(32) [(33) / (34)(49) [(35)(50)(36) STATEEXPONENTIALS(37)(51) Se"dx=1e(38)(52) erf(ivax) where(39)(53) fxx`dx=(x-1)e(54)(55) [x e'dx=e'(x2-2x+2)(40)(56)(57)(41)(58) where/(42)(59)LOGARITHMS(43)TRIGONOMETRIC FUNCTIONS(44)(60) sin xdx = - cos x(45)(61) [sin' xdx=(62)(46)(63) cosxdx = sinx =(47)(64)(65)(48)(66) = (67)Sx" cosaxdx(89)(68)(90) [.xsin.xdx=-xcos.x+sin.u(69)(91)(70) tanxxxx-incos.x(92) xsinxdx=(2-x2)cosx+2xsinx(71)(72)(73) [sec.xdx=lnlsec.x+tan.TRIGONOMETRIC FUNCTIONS WITH eax(74) sec2 xdx = tanx(95)(75)(76) sec.xtan.xdx=sec.x(97)(77)(78)(98)(axax(79) fcsc.ddr=Inlcscx-cotxiTRIGONOMETRIC FUNCTIONS WITH x" AND eax(80) [csc2 xdx = - cot.x(99)(100) Sex(82)HYPERBOLIC FUNCTIONS(83) [sec.xcsc.xdx: Intan.x(101) cosh xdx = sinh xTRIGONOMETRIC FUNCTIONS WITH x"(102) Sear(84)(103) sinh xdx = cosh x(85)(86) xcosxdx 2xcosx+(x2-2)sinx(105)(87)(106) [tanhandr==IncosharSx" cos xdx =(88)[cosaxcoshbxdx=(107)[asin axcosh bx + bcosaxsinhbx Scos ax sinh bxdx =(108)atbal 1 [bcos bxax cosh bx + asin ax sinh]sin ax cosh bxdx =(109)1-a cos ax cosh bx + bsin ax sinh bx 1S sin ax sinh bxdx =(110)1b cosh bxsin ax - acos ax sinh bx](111) sinh ax cosh axdx = 1/4 [-2ax + sinh(2ax)]sinh ax cosh bxdx =(112)bi-a2 1 [b cosh bx sinh ax - a cosh ax sinh bx ]