Calculo

CÁLCULO INTEGRAL – INTEGRALES INDEFINIDAS

Resolver todas las integrales.

1. | x5dx | 17. | t2t2+3 dt |
2. | 5xdx | 18. | a-x2x dx |
3. | dxx2 | 19. | 2x+3x2+3x dx |
4. | ax12dx | 20. | 4x2x3+8 dx |
5. | 5x3+2x2-3dx | 21. | t2a+bt32 dt |
6. | 2ax-bx2+3c 3x2dx | 22. | xn-1a+bxn dx |
7. | x+32dx | 23. | x2+1x3+3xdx |
8. | ax dx | 24. | 2+lnxx dx |
9. | x+33xdx | 25. | dxx lnx|
10. | x22-2x2dx | 26. | sen xcosx dx |
11. | x3x-2dx | 27. | tgx2sec2x2 dx |
12. | xa-x2dx | 28. | secxtg x2 dx |
13. | dxx+5 | 29. | sen2axcosax dx |
14. | x3-3x+6x+1 dx | 30. | cosaxb+sen(ax) dx |
15. | x3-6x+5x dx | 31. | xlne2x dx |
16. | a+bx dx | 32. | e2xe2x+1 dx |

33. | x2+2x+1 dx | 49. | ex+4ex dx |
34. | x+42x+3 dx | 50. | sen(2ax) dx |
35. | 3bx2 dx | 51. |sec3t tg (3t)dt |
36. | aex+baex-b dx | 52. | dxcos2x |
37. | 2x36-5x2 dx | 53. | dx1-sen x |
38. | 1+sen x4secx+tg x dx | 54. | dx1+cosx |
39. | sec2θtg 2θ3 sec2θ-2 dθ | 55. | tg θ+cotθ2dθ |
40. | ex+sen xex-cosx dx | 56. | sec θ-tg θ2dθ |
41. | ba2x dx | 57. | e2xcote2xdx |
42. | 6e3x dx | 58. | dθcos4θ |
43. | dxex | 59. | sec2θ-cscθ2 dθ |
44. | exa+e-xadx | 60. | cotx2 dx |45. | exa-e-xa2dx | 61. | cos(b+ax) dx |
46. | e5x+a5xdx | 62. | (sect-1)2 dt |
47. | axexdx | 63. | dxsen24x |
48. | etgθsec2θdθ | 64. | sen xx dx |

65. | xcosx2 dx | 81. | axx4+b4 dx |
66. | sec2θ1+2 tg θ dθ | 82. | du4-2u-12 |
67. | 5+2 tg xcos2x dx | 83. | 7x25-x6 dx |
68. | x+sen (2x) dx | 84. | dxx2+4x+5 |
69. | dxx2+9 | 85. | dxx2+4x+3 |
70. | dxx2-4 | 86. | 3x2-8x+25 dx|
71. | dy25-y2 | 87. | dy3-2y-y2 |
72. | dss2-16 | 88. | dx2x-x2-10 |
73. | dx16-9x2 | 89. | dxx2+2x+5 |
74. | ex1+e2xdx | 90. | dxx2+4x+20 |
75. | ba2x2-c2dx | 91. | dx3x-x2-2 |
76. | 5x1-x4dx | 92. | x24-1 dx |
77. | cosx4-sen2 xdx | 93. | 5-3x2 dx |
78. | dx4-x+32 | 94. | x2-8x+7 dx |
79. | dx16x2-9x2 | 95. | 10-4x+4x2 dx |
80. | 2ex1-e2x dx | 96. | 16-9x2 dx |

97. |dxx2+2x | 113. | x e3x dx |
98. | 3x-14x2+9 dx | 114. | xsec2xdx |
99. | 2x-33x2+4x-7 dx | 115. | x ax2 dx |
100. | 1+2x1+x2 dx | 116. | arc cos2x dx |
101. | 2x+11-x2 dx | 117. | ln3x+1 dx |
102. | 8x-312x-4x2-5 dx | 118. | sec3θ dθ |
103. | 5t-13t2-1 dt | 119. | x2+4x-4xdx |
104. | 2x-53x2+2 dx | 120. | x3x2+1dx |
105. | x-11-x2 dx | 121. | 1t-1dtt2 |
106. | 4x+3x2+1 dx | 122. |x3x2+1(3x4+2x2+1)2 dx |
107. | 3x-4x2-1 dx | 123. | x41-xdx |
108. | 4x-13+5x2 dx | 124. | x+1x-1dx |
109. | 3x+89x2-3x-1 dx | 125. | sen3x-cos5xdx |
110. | x+36x-x2 dx | 126. | x3-3x2+2x-2x+1dx |
111. | xcosx dx | 127. | axsenaxdx |
112. | x2eax dx | 128. | dx1+sen x |

129. | arctg5xx2+1dx | 145. | xx2+14-2x2-x4 dx |
130. | 3ex+45ex-6dx | 146. | x2-4x+443dx |
131. | x2dx1-x6| 147. | dx42x |
132. | dx4x2+4x+5 | 148. | x-1x4dx |
133. | 1+2x1+x2dx | 149. | 1+tgx2 dx |
134. | 3x+219-5x+x2dx | 150. | x21-x6dx |
135. | x2-8x+7 dx | 151. | x+31-x2dx |
136. | 2x-x2dx | 152. | e2x-1e2x+3 dx |
137. | xe2xdx | 153. | 2x4+5x3-3x+5x2+x-2 dx |
138. | arc senx dx | 154. | xe-x2 dx |
139. | xex 1+x2 dx | 155. | x 5x dx |
140. | ln3xdx | 156. | y2 sennydy |
141. |exsenx dx | 157. | x2+1e-xdx |
142. | x2exdx | 158. | lnx+1x+1dx |
143. | 2xx2+123 dx | 159. | x2enxenx dx |
144. | 5x 39-4x22dx | 160. | cos⁡lnx dx |

161. | cos3x dx | 177. | cot(2x)csc(2x)dx |
162. | sen32x dx | 178. | tg3x dx |
163. | sen2θcosθ dθ | 179. | dxtg5(ax) |
164. | sen2x cos32xdx | 180. | sen2xcos4x dx |
165. | sen2xcos3x dx | 181. | cscθcotθ4 dθ |
166. |cos3xsen4 x dx | 182. | dxsen2x cos4x |
167. | sen3ϕcos2ϕ dϕ | 183. | tg3xsec3x dx |
168. | sen5x dx | 184. | tg3xsecx dx |
169. | sen5ycosy dy | 185. | cos2x dx |
170. | sen7ax3cosax dx | 186. | sen2 xcos2x dx |
171. | tg4x dx | 187. | sen 7x sen 5x dx |
172. | cot5(2x) dx | 188. | cos4x cos 6x dx |
173. | sec4x dx | 189. | sen4x dx |
174. | csc6x2dx | 190. | cos2axdx |
175. |...