Selesaikanlah setiap integral berikut ! a. ∫(9x^2 )dx b. ∫(5/2 x^4) dx c. ∫(x^3-1)/√x dx

Penyelesaian:

A.

∫ 9x^2 dx

= (9/3) x^3 + C

= 3x^3 + C

B.

∫ (5/2 x^4) dx

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

= 5/10 x^5 + C

= 1/2 x^5 + C

C.

∫ (x^3 – 1)/√x dx

∫ (x^3 – 1)/x^1/2 dx

∫ x^3/x^1/2 – 1/x^1/2 dx

∫ (x^5/2 – 1/x^1/2) dx

∫ x^5/2 dx – ∫ 1/x^1/2 dx

= 2/7 x^3√x – 2√x + C

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Detil Jawaban

Kelas: 11

Mapel: Matematika

Bab: Integral Tak Tentu

Kode: 11.2.5.1

Kata Kunci: integral