Integral of $$$\left(a^{2} \cos^{2}{\left(2 x \right)} + b^{2} \sin^{2}{\left(2 x \right)}\right)^{2}$$$ with respect to $$$x$$$
The calculator will find the integral/antiderivative of $$$\left(a^{2} \cos^{2}{\left(2 x \right)} + b^{2} \sin^{2}{\left(2 x \right)}\right)^{2}$$$ with respect to $$$x$$$, with steps shown.
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Find $$$\int \left(a^{2} \cos^{2}{\left(2 x \right)} + b^{2} \sin^{2}{\left(2 x \right)}\right)^{2}\, dx$$$.