Pembuktian Integral sin^2 x dx = ½ x – ¼ sin 2x + C


\int sin2 x dx = \int \dfrac{1 - \cos 2x}{2} dx (Sifat-Sifat Dasar Trigonometri)

= \dfrac{1}{2} (\int 1 dx – \int cos 2x dx)

= \dfrac{1}{2} (x – \dfrac{1}{2} sin 2x) + C

= \dfrac{1}{2} x – \dfrac{1}{4} sin 2x + C \blacksquare

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