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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 )