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int((sin2x)/(sin4x))dx...

int((sin2x)/(sin4x))dx

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Integration using rigonometric identities : int(sin 2x)/(sin^(4)x+cos^(4)x)dx=...

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If int(sin2x)/(sin^(4)x+cos^(4)x)dx=tan^(-1)(tan^kx)+c , then k is=