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Show me the steps to solve int _ 0 ^ { frac { pi } { 4 } } frac {

Show me the steps to solve
\int _0^{\frac{\pi }{4}}\frac{1}{2}\:\left(\left(49cos\left(4\theta \right)\right)^2-\left(40sin\left(4\theta \right)\right)^2\right)d\theta

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