Tabel De Integrale Nedefinite

  • May 2020
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INTEGRALA

NR. 1)

x n +1 ∫x dx =n +1 +C

1’)

xα+1 ∫ x dx =α +1 +C

2)

ax ∫a dx = ln a +C

n

α

x

∫ e dx = e x

2’)

x

+C

1

∫ x dx =ln x +C

3)

1

4)

∫ sin

5)

∫ cos

6)

∫ sin xdx = −cos x + C

7)

∫ cos xdx = sin x +C

2

x

dx = −ctgx +C

1

8)



8’)



9) 9’)

2

x

1 a −x dx 2

2

dx =tgx +C

dx = arcsin

x +C a

= arcsin x +C 1 −x 2 1 1 x ∫ a 2 + x 2 dx = a arctg a + C 1 ∫ 1 + x 2 dx = arctgx + C 1 dx = ln( x + a 2 + x 2 ) + C 2 2 x +a 1 dx = ln x + x 2 − a 2 + C 2 2 x −a

10)



11)



12)

∫x

2

1 1 x −a dx = ln +C 2 −a 2a x +a

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