Hasil Integral Tak Tentu Fungsi Aljabar dan Trigonometri

MathematicsIntegral CalculusEasySTEM

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Hasil dari $\int (2x + 6 \sin x) dx$ adalah ....

A. $x^2 + 6 \cos x + C$

B. $x^2 - 6 \cos x + C$

C. $2x^2 + 6 \cos x + C$

D. $\frac{1}{2}x^2 + 6 \cos x + C$

E. $2x^2 - 6 \cos x + C$

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1
Step 1

Halo semuanya! Mari kita selesaikan soal integral tak tentu ini bersama-sama.

Integrasi Fungsi Aljabar dan Trigonometri

2
Step 2

Kita diminta untuk mencari hasil integral dari dua x ditambah enam sinus x terhadap x.

$$\int (2x + 6 \sin x) \, dx$$
3
Step 3

Berdasarkan sifat linearitas integral, kita bisa memisahkan integral ini menjadi dua bagian agar lebih mudah dikerjakan.

4
Step 4

Mari kita integralkan bagian pertama. Integral dari dua x adalah dua kali x pangkat satu tambah satu per satu tambah satu.

$$\int 2x \, dx = 2 \cdot \frac{1}{2} x^2$$
5
Step 5

Dua dikali setengah adalah satu, jadi bagian pertama menjadi x kuadrat.

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About This Question

Subject
Mathematics
Topic
Integral Calculus
Difficulty
Easy
Exam
STEM
Question Type
Multiple Choice

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