Page 317 - Buku Paket Kelas 11 Matematika

Contoh 8.8
Hitunglah integral berikut! a) ∫4x3 dx
∫ 12 dxx x
b)
c) ∫x3dxx d) ∫ 1 dxx.
x3
Alternatif Penyelesaian:
a) ∫4x3dx = 4 x3+1+c 3+1
b)∫1dxx
= x4 + c =x–2dx
x
2
∫
= 1 x−2+1+c
= −1x+c. c)∫x3dxx =∫x32dxx
= 31 x32+1 2 +1
= 15 x 52 2
=52x2 x+c.
−2+1 = –x–1 + c
MATEMATIKA 309