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The inĀteĀgral can be calĀcuĀlated using inĀteĀgraĀtion by parts (using the forĀmula ā«uā (x)v (x)\,dx = u (x)v (x) - ā« u (x)vā (x)\,dx ). Letās write \sin^2 (x) as \sin (x)\sin (x) and apply this forĀmula: If we apply

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How to integrate sin^2 x using the addition formula for cos(2x) and a trigonometric identity.

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