Tabel De Integrale Nedefinite
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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
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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