Soal Ujian Matematika IPA Kelas 12
Tahun 2018Soal Pilihan Ganda
20. Hasil dari integral x2 ( x3 - 7 )5 dx = ...
∫ x2 ( x3 - 7 )5 dx
B. 1/9 ( x3 - 7 )6 + C
A. 1/6 ( x3 - 7 )6 + C
A. 1/3 ( x3 - 7 )6 + C
A. 1/2 ( x3 - 7 )6 + C
Jawaban : A
∫ x2 ( x3 - 7 )5 dx
U = x3 - 7
dU = 3 x2 dx
x2 dx = 1/3 dU
dU = 3 x2 dx
x2 dx = 1/3 dU
∫ x2 ( x3 - 7 )5 dx
= ∫ ( x3 - 7 )5 x2 dx
= ∫ (U)5 . 1/3 dU
= 1/3 . 1/(5+1) (U)6 + C
= 1/3 . 1/6 (U)6 + C
= 1/18 . ( x3 - 7 )6 + C
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