Question

Minta bantuannya ya buat soal integral ini

Answer 1

Verified answer

Jawaban:

D

Penjelasan dengan langkah-langkah:

metode integral substitusi

note :

| adalah simbol integral

| (4x + 3)(4x² + 6x - 9)^9 dx

let u = 4x² + 6x - 9

du = 8x + 6 dx

du = 2(4x + 3) dx

= 1/2 | u^9 du

= 1/2 (u^10/10) + C

= u^10/20 + C

= (1/20)(4x² + 6x - 9)^9 + C

SEMOGA MEMBANTU :)

Answer 2

Penyelesaian:

int (4x + 3) (4x^2 + 6x - 9)^9 dx

misal

u = 4x^2 + 6x - 9

du = 8x + 6

dx = du/8x + 6

int (4x + 3) (4x^2 + 6x - 9)^9 dx

int (4x + 3) u^9 . du/8x + 6

int (4x + 3) u^9 . du/2(4x + 3)

1/2 int u^9 . du

= 1/2 . 1/10 . u^10 + C

= 1/20 . u^10 + C

= 1/20 (4x^2 + 6x - 9)^10 + C

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Detil Jawaban

Kelas: 11

Mapel: Matematika

Bab: Integral Tak Tentu Fungsi Aljabar

Kode: 11.2.10

Kata Kunci: Integral Subtitusi