Seems too easy!

Calculus Level 5

0π/4x2(sin2xcos2x)(1+sin2x)cos2xdx\int_{0}^{^\pi/_4} \frac{x^{2} (\sin 2x - \cos 2x) }{(1+\sin 2x)\cos^2 x} dx can be expressed as παβπγlnλ \frac{\pi^{\alpha}}{\beta} - \frac{\pi}{\gamma} \ln \lambda.What is the value of α+β+γ+λ\alpha + \beta + \gamma + \lambda?

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