integral. batuin ya teman teman. butuh banget
Matematika
Chyntia1906
Pertanyaan
integral. batuin ya teman teman. butuh banget
1 Jawaban
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1. Jawaban ahreumlim
Nomer 8
b. F'(x) = 6x² - 2x + 5 , F(0) = 5
>> F(x) = (6/3)x³ - (2/2)x² + 5x + C
>> F(0) = 0 - 0 + 0 + C = 5 >>>>>> C=5
>> F(2) = 2(2³) - 2² +5(2) + 5
= 16 - 4 + 10 + 5
= 27
c. F'(x) = 1/2x² , F(3) = 7/6
>> F(x) = (1/2)(-1)/x + C
>> F(3) = -1/6 + C = 7/6 >>>>>>>>> C=8/6
>> F(2) = -1/4 + 8/6
= -3/12 + 16/12 = 13/12
d. F'(x) = 2(6x² - 1) , F(0)=5 dan F(1)=2 (ini kayanya ada yang salah sama soalnya) (tapi kalo mau tetap dihitung juga F(2) nya, iya hitung aja sesuai nilai C nya.
>> F(x) = 2(2x³ - x) + C
>> F(0) = 2(0 -0) + C = 5 >>>>>>>>>> C = 5
>> F(1) = 2(2 - 1) + C = 2 >>>>>>>>> C = 0
>> F(2) = 2(2(2³) - 2) + 5 = 31
>> F(2) = 2(2(2³) - 2) + 0 = 28