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Calculo 2 De dos variables_9na Edición - Ron Larson

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A-6 ApénDiCE B Tablas de integración

29.

30.

31.

32.

33.

u2

a 2

u

1 1

du

uu 2 a2 du u 2 a 2 a arcsec u

a C

u2 ± a 2

du u2 ± a 2

lnu u

u 2 u

2 ± a 2 C

1

u 2 ± a 2 du ln u u 2 ± a 2 C

a ln a u2 a 2

u

C

1

uu 2 a du 1 2 a arcsec u

a C

34.

35.

36.

u 2

u 2 ± a 2 du 1 2 uu2 ± a 2 a 2 ln u u2 ± a 2 C

1

u 2 u 2 ± a du u2 ± a 2

C

2 a 2 u

1

u 2 ± a 2 du ±u

32 a 2 u 2 ± a C 2

integrales con la forma a 2 u 2 , a > 0

37. a

38. u

39.

40.

41.

42.

43.

44.

a2

a2

45.

2 u 2 du 1 2 ua2 u 2 a 2 arcsen u a C

2 a 2 u 2 du 1 8 u2u2 a 2 a 2 u 2 a 4 arcsen u a C

u 2

du a

u

2 u 2 a ln a a2 u 2

u

C

u 2

du a2 u 2

arcsen u u 2 u

a C

1

a 2 u 2 du arcsen u a C

1 1

ua 2 u2 du

a ln a a2 u 2

u

C

u 2

a 2 u 2 du 1 2 ua2 u 2 a 2 arcsen u a C

1

u 2 a 2 u du a2 u 2

C

2 a 2 u

1

u

a 2 u 2 32 du

a 2 a 2 u C 2

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