Soal Matematika Kelas XII no 35

35. _-2ഽ⁴ (x + 4 - 1/2 x^2) dx = ...

a. 2

b. 18

c. 20 1/3

d. 22

e. 24 1/3

Jawaban :

_-2ഽ⁴ (x + 4 - 1/2 x^2) dx

= _-2[1/2x^2 + 4x - (1/2)/(2+1) x^(2 + 1)]⁴

= _-2[1/2x^2 + 4x - (1/2)/3 x^3]⁴

= _-2[1/2x^2 + 4x - (1/6 x^3]⁴

= (1/2 (4)^2 + 4 . (4) - 1/6 (4)^3) - (1/2 (-2)^2 + 4(-2) - (1/6 (-2)^3))

= (1/2 . 16 + 16 - 1/6 . 64) - (1/2 . 4 - 8 - (1/6 . (-8))

= (8 + 16 - 10 2/3) - (2 - 8 + 8/6)

= (24 - 10 2/3) - (- 6 + 1 1/3)

= 13 1/3 + 6 - 1 1/3

= 12 + 6

= 18

Jawaban : B