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1. Gunakan sifat integral fungsi eksponential diatas \( 3 \int \frac{1}{3} e^{x} d x=\left(3 \times \frac{1}{3}\right) \int e^{x} d x=\int e^{x} d x=e^{x}+C \) 2. Gunakan sifat integral fungsi trigonometri diatas \( \int 3 \sin x d x=3 \int \sin x d x=3(-\cos x)=-3 \cos x+C \) Berdasarkan contoh diatas, Selesaikan integral berikut: \( \int-\frac{2}{5} \cos x d x \) Terimakasih.

Ask by Hill Patel. in Indonesia
Mar 14,2025

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Hasil integralnya adalah \(-\frac{2}{5}\sin x + C\).

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Beyond the Answer

Untuk menyelesaikan integral \( \int -\frac{2}{5} \cos x \, d x \), kamu bisa menggunakan sifat integral yang sama seperti contoh sebelumnya: \[ \int -\frac{2}{5} \cos x \, d x = -\frac{2}{5} \int \cos x \, d x \] Ingat bahwa integral dari \( \cos x \) adalah \( \sin x \): \[ -\frac{2}{5} \int \cos x \, d x = -\frac{2}{5} \sin x + C \] Jadi hasil akhirnya adalah: \[ \int -\frac{2}{5} \cos x \, d x = -\frac{2}{5} \sin x + C \] Selamat berintegrasi! Turunkanlah gaya matematikamu dengan penuh semangat!

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