Ejercicios Calculo Integral Segundo Parcial
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Ejercicios adicionales calculo integral segundo parcial 1. ∫ b sen 2 ax dx = bcotax a + C 2. 3. ∫ √ m 2 −( x +n) 2 dx = ( x+n ) 2 √ m 2 −( x +n ) 2 + m 2 2 arcsen [ x+ n m ] + C 4. 5. ∫ dθ a 2 θ = −1 2 a 2 θ lna + C 6. 7. ∫ √ ( 2 x+1 ) 2 +1 dx = 2 x +1 4 √ ( 2 x + 1) 2 +1 + 1 4 ln| ( 2 x+1 ) + √ ( 2 x+1 ) 2 +1 | + C 8. 9. ∫ csc ( x 3 ) dx =31 ntan x 6 +C 10. 11. ∫ dx x 2 −8 x+ 15 = 1 2 ln ( x−5 x−3 ) + C 12. 13. ∫ senz √ a−cosz dz= 2 √ a−cosz+ C
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Transcript of Ejercicios Calculo Integral Segundo Parcial
Ejercicios adicionales calculo integral segundo parcial
1. ∫ b
sen2axdx=bcotax
a+C
2.
3. ∫√m2−( x+n )2dx=( x+n )2
√m2−( x+n )2+m2
2arcsen[ x+nm ]+C
4.
5. ∫ dθ
a2θ= −12a2θlna
+C
6.
7. ∫ √(2 x+1 )2+1dx=2 x+14
√ (2 x+1 )2+1+ 14ln|(2x+1 )+√ (2 x+1 )2+1|+C
8.
9. ∫ csc( x3 )dx=31ntan x6+C
10.
11. ∫ dx
x2−8 x+15=12ln( x−5x−3 )+C
12.
13. ∫ senz
√a−coszdz=2√a−cosz+C
14.
15. ∫ dθ
√4θ2+4θ+5=12ln [ (2θ+1 )+√4θ2+4θ+5 ]+C
16.
17. ∫ atanθ sec2θdθ=atanθ
lna+C
18.
19. ∫√1−x−2x2dx= (4 x+1 )8√2
√1−x−2 x2+ 916√2
arcsen( 4 x+1√3 )+C
20.
21. ∫ ( sec (mx )+ tan (mx ) )2dx=2 ( tan (mx )+secmx )
m−x+C
22.
23. ∫ (3 t−1 )dt3 t 2+9
=12ln (3 t 2+9 )−1
3arctan √3 t
3+C
24.
25. ∫ sec3 xtanxdx= sec3 x3
+C
26.
27. ∫ (7 x−2 )dx1+5x2
= 710ln (1+5 x2)− 2
√5arctan√5 x+C
28.
29. ∫ x2 ex3
dx= ex3
3+C
30.
31. ∫ (x+2 )dx
√ x2−6 x+5=√x2−6 x+5+5 ln [ (x−3 )+√x2−6 x+5 ]+C
32.
33. ∫8 x3 e−x4
dx=−2ex
4 +C
34.
35. ∫cos5nt dt= sen ntn
− sen3nt3n
+C
36.
37. ∫( xem−e− xm )
2
dx=m2 ( 2 xem −e−2 x
m )−2x+C
38.
39. ∫ sen4 x cos3 xdx= sen5 x5
− sen7 x7
+C
40. ∫ dx9+16 x2
= 124ln [ 3+4 x3−4 x ]+C
41. ∫ cos5 x3√senx
dx=3 sen
23 x
2−3 sen
83 x4
+3 sen
143 x
14+C
42. ∫ 5 xx4+16
dx=58arctan
x2
4+C
43. ∫ sen5 (a+bx )dx=cos(a+bx )b
+2cos2 (a+bx )
3b−cos5 (a+bx )
5b+C
44. ∫ dx
√4 x2+25=12ln|2 x+√4 x2+25|+C
45. ∫ sen33 t cos53 tdt= sen43 x
12− sen
63x9
+ sen83 x24
+C
46.
