Soal integral tolong caranya difoto.... Question from @Zerochance324

April 2019 2 28 Report

Soal integral tolong caranya difoto

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Semoga membantu dan bermanfaat
$\int\limits^ {}4sin3xcosx \, dx$
keluarkan konstanta
$4\int\limits^ {}sin3xcosx \, dx$
gunakan identitas
$cos(a)sin(b)= \frac{sin(a+b)+sin(a-b)}{2}$
$=4 \int\limits^ {} \frac{sin(3x+x)+sin(3x-x)}{2} \, dx$
$=4. \frac{1}{2} \int\limits^ {}sin(3x+x)+sin(3x-x) \, dx$
$=2 \int\limits^ {}sin(3x+x)+sin(3x-x) \, dx$
$=2 \int\limits^ {}sin(3x+x) \, dx + \int\limits^ {}sin(3x-x) \, dx$
$=2.( -\frac{1}{4}cos4x- \frac{1}{2}cos2x)$
$=- \frac{1}{2}cos4x-cos2x+C$

3 votes Thanks 2

Komentar Integral Fungsi Trigonometri.

∫ 4 sin 3x cos x dx
= 2 ∫ [sin (3x + x) + sin (3x - x)] dx
= 2 ∫ (sin 4x + sin 2x) dx
= 2 (-1/4 cos 4x - 1/2 cos 2x) + C
= -1/2 cos 4x - cos 2x + C

1 votes Thanks 1

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Matematika integral tolong bantuu

Integral mat (yang b itu x^5)

Matematika integral trigonometri ada yang bisa jelasin?

( fiqih ) Ibu menyuruh anaknya untuk salat sunah duha. hukum salat sunah itu adalah

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