Jika f(x) = S(⅓x²– 2x+5) dxdan f(0) = 5, maka f(x) = …​

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Jika f(x) = S(⅓x²– 2x+5) dxdan f(0) = 5, maka f(x) = …​

Penyelesaian:

∫ (1/3 x^2 – 2x + 5) dx

= (1/3 . 1/3) x^3 – (2/2) x^2 + 5x + C

= 1/9 x^3 – x^2 + 5x + C

f (0) = 5

1/9 x^3 – x^2 + 5x + C = 5

0 – 0 + 0 + C = 5

C = 5

maka f (x) = 1/9 x^3 – x^2 + 5x + 5

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Detil Jawaban

Kelas: 11

Mapel: Matematika

Bab: Integral Tak Tentu

Kode: 11.2.10

Kata Kunci: integral, rumus f (x)