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Q.Evaluate : ∫sin⁡2x dx\int \sin^2 x\,dx

Puducherry TnboardTamil Nadu HSC (DGE) Commerce Board 2024Subjective· 2mImportance★★★★★
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∫sin⁡2x dx=x2−sin⁡2x4+c\int\sin^2x\,dx=\frac{x}{2}-\frac{\sin 2x}{4}+c.

Using sin⁡2x=1−cos⁡2x2\sin^2x=\dfrac{1-\cos 2x}{2},

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