Cong Thuc Tich Phan

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    18-Nov-2014

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______________________________________________________________NG NHT MINH CONG THC TCH PHAN1)

k .dx = k .x +C

2)

n x dx =

x n +1 +C n +1

3)

x

12

dx = 1

1 +C x

4)

x dx = ln x + C (ax + b) dxcos1 = 1 ln ax + b + C a

1

5) 7) 9) 11)

(ax + b)sin

n

dx =

1 + C ; 6) a ( n 1)( ax + b) n 1

x.dx = cos x +C

8) 10) 12)

x.dx = sin x +C

sin( ax + b)dx = a cos( ax + b) + C

1

cos( ax + b)dx = a sin( ax + b) + C

1

cos cosex

12

x

dx = (1 +tg 2 x ).dx = tgx + C

sin sine

12

x

dx = (1 + cot g 2 x )dx = cot gx + C

13) 15) 17) 19)

2

1 1 dx = tg ( ax + b) + C a ( ax + b)

14) 16) 18) 20)

2

1 1 dx = cot g ( ax + b) + C a ( ax + b)dx = x +C e

dx = e x +C

x

( ax +b ) dx = e x a dx =

1 ( ax +b ) e +C a

n (ax + b) .dx =

ax +C ln a

x

2

1 dx = arctgx + C +1

1 (ax + b) n +1 . + C (n 1) a n +1

21)

x x2

2

1 1 x 1 dx = ln +C 2 x +1 1

22)

x1

2

1 1 x dx = arctg + C 2 a a +a

23)

1 1 x a dx = ln +C 2 2a x +a a

24)

1 x2 1 x 12

dx = arcsin x + C

25)

1 a x2 2

dx = arcsin

x +C a

26)

dx = ln x + x 2 1 + C

27)

1 x a2 2

dx = ln x + x 2 a 2 + C

28)

a 2 x 2 dx =

x a2 x a2 x2 + arcsin + C 2 2 a

29)

x 2 a 2 dx =

x a2 x2 a2 ln x + x 2 a 2 + C 2 2