Page 11 - integral tak tentu

Aturan-aturan Dasar Integral

1
4. Jika pangkat n = -1 maka ׬ −1 = ׬ = ln +

Contoh:

3
׬ = 3 ln +

5. ׬ ( ) ± ( ) = ׬ ( ) ± ׬ ( )

Contoh:




3
 )
a.
x 4 (
4
dx
3
x 4
dx
4
dx +
=
= 4  x 3 dx + 4  dx
1
= 4 [( 3 1 )x 3 1  C 1 ] + ( 4 x C 2 )

4
= x  4C 1 + 4x 4C 2

4
= x  4 x + 4C  4C 2
1

4
= x  4 x + C