Bila F(x)=integral 5x√x dx dan F(1)=10 maka F(4)=
Matematika
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Pertanyaan
Bila F(x)=integral 5x√x dx dan F(1)=10 maka F(4)=
1 Jawaban
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1. Jawaban Anonyme
F(x) = ∫5x√x dx
F(x) = 5 ∫x^3/2 dx
F(x) = 5/(5/2) x^5/2 + C
F(x) = 2 x^5/2 + C
F(1) = 10
2 . 1^5/2 + C = 10
2 + C = 10
C = 8
F(x) = 2 . x^5/2 + 8
F(4) = 2 . 4^5/2 + 8
F(4) = 2 . 2^2×5/2 + 8
F(4) = 2. 2^5 + 8
F(4) = 2^6 + 8
F(4) = 72