mohon dibantu beserta caranya bagaimana
Matematika
darxhoki
Pertanyaan
mohon dibantu beserta caranya bagaimana
1 Jawaban
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1. Jawaban ahreumlim
5. ∫ (√x - 1/√x) dx
= ∫ (x^(1/2) - x^(-1/2)) dx
= (2/3)x^(3/2) - 2x^(1/2) + c
= (2/3)x√x - 2√x + c
= 2√x (x/3 - 1) + C ==>> C
6. F '(x) = 1 - 2x
maka F(x) = ∫ F '(x) dx
F(x) = ∫ 1 - 2x dx
F(x) = x - 2x²/2 + C
F(x) = x - x² + C
Diketahui F(3) = 4
F(3) = 3 - 3² + C = 4
3 - 9 + C = 4
-6 + C = 4
C = 10
Jadi F(x) = -x² + x + 10 ==>> E
7. ∫ (sin 3x - cos 3x) dx
= -(1/3) cos 3x - (1/3) sin 3x + C
= - 1/3 ( cos 3x + sin 3x) + C ==> A