bila F(×) = integral 5✓ x dx dan F(1) = 10, maka F(4) adalah...
Matematika
Heyinirara
Pertanyaan
bila F(×) = integral 5✓ x dx dan F(1) = 10, maka F(4) adalah...
1 Jawaban
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1. Jawaban DB45
Integral
f(x)= int 5x^(1/2) dx
f(x) = 5 (2/3) x^(3/2) + c
f(x) = 10/3 x √ x + c
f(1) = 10 --> 10/3 + c = 10
c = 20/3
f(x)= 10/3 x√x + 20/3
f(x) = 10/3 ( x√x + 2)
f(4) = 10/3 (4√4 + 2)
f(4) = 10/3 (8+2)
f(4)= 100/3