TAREA DE INTEGRAL INDEFINIDA 1 f 2 f . 3J 4 f 5f = . (2x- 3) dx 73·. J x" + 6x + 13 r 97.J y16- 9x' dx = dx 27f ·rx 51 ·• x + x' ( (x- 1) dx = . .Jy x'- 16 dx = · J 3x"- 4x + 3 74 (4- x')'x" dx 98 . J Vx (35x) dx = 28 sin 2x dx 52 dy x dx = '· .f y 4x' + 9 dx (x + 1)(x- 2) dx = (2- y)3 f 75 · • y27 + 6x - x' 99 29 f Vx 53 .J eos !x dx = (5- 4x) dx xdx _E_ = 76· f y12x- 4x'- 8 • (x + 4) 30 f x-1 . J see 3x tan 3x dx 54 dx _ (1- xl)' dx dx = · f x"- 4 77 .f vx'-2x-3 dx = 31 f 3x + 1 100 J ese' 2x dx = 55 dx = 6 J' (1 - x x dx :::;; 32· f x•3xdx +2 78· f 4x'- 9 101 ·. f V12 + 4x - x' dx = 56 .f (1 - x )'x' dz x'dx 7 ~ 33· ..f 1- x 79· f 9- x' 57..f tan'x dx dx 8 f (x'- x)•(2x - :) dx = x-1d _ = · x+1 a: · y49x' 34 f 80 f . 3t dt 58.f tan tx dx dx _ 9 .J \.1 t• + 3 x• + 2x + 2 dx · f 9x + 4 35 ' f x+2 81 . (x+1)dx 10.J vx• + 2x- 4 59.Jese 3x dx sin 8x dx x+1 dx= .f · x• + 2x + 2 9 + sin• 4x f 36 82 . dx .J b see ax tan ax dx = 11J (a+ bx)'l3 60 see' x dx f (2xd~ 1 2xd: 1) = 37 83 f y1 - 4 tan•x dx _ 61.f (eos x-sin x)' dx 12J(4:c3 +3x' + 2x + 5) dx 38.J a<zdx = · f xy4-9ln'x 84 62 f sin ax eos ax dx = 13J (3 - 2x - x•) dx = 39 J e<zdx = 2x'- x' dx · f 2x' + 1 85 14f (2- 3x + x dx = 40, f -ellz' eos 2x dx 63J sin x eos x dx 86· sin' x3d x = 2x + 8 f . J (Vx- tx + 2/vX)_dx 15 64.J eos• x sin x dx = .f e"n ,: see' 2x dx = 41 87 16J(a+ x) dx == . f tans x sec' x dx = 42 65 J' (x - 2)•" dx 88.f e• ''" eos 3x dx == 17 43.J' (ez+1) dx = 66.J eot• 3x ese• 3x dx dx = dx = 18f x• ' y5- x• 89 102.f y' x' + 4x dx dx . f ( ez - x•) dx = 44 = dx = 67· f .,...1--____,s + x' = 19· f (x-1) 90· •f 5 dx 103.f y x•- 8x d:r , f (ez + 1) e.. dx dx dx 45 J dx 68· f 1 + eos 3x 20 .f vx + 3 91' . xv'x'-5 104.f y6x-x'd:r = e>z 46• f e•z + 3 dx = dx _ J e.. dx 21.J y3x -1 dx 69• f 1+seeax 92· • y1- e>z = 47 e2z dx see' .::_ tan .::_ dx = 105 (x'- 1)' dx = 22J y2- 3x dx . • 1 + e'z · a a 70 f 93 48 see• 3x dx 23J (2x' + 3) x dx · tan 3x f J 25-dx9x' 71 e•z -1 _ 94 . e•z + 3 dx 49 f x dx = 24J (x -1)'x dx ese x 72.f secs dx _ J' Vx'+4 dx 95 .J (x'- 1)x dx = . Vx(1Vx) f 50 25 J dx 96 y4x 25 = J y' 1 + y• Y dy = 26 (x 3 + 3)x' dx == (1+vfx)' dx 13 ..r 2 3 3 2 ) 3 3 2 3 ) 3 3 3 z f 1 i,-n--;~-x 3 1 r r 113 3 2 -