Integral of $$$x^{2} \left(x^{2} - 1\right) \sin{\left(2 x \right)} + 2 x \cos{\left(2 x \right)}$$$
The calculator will find the integral/antiderivative of $$$x^{2} \left(x^{2} - 1\right) \sin{\left(2 x \right)} + 2 x \cos{\left(2 x \right)}$$$, with steps shown.
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Find $$$\int \left(x^{2} \left(x^{2} - 1\right) \sin{\left(2 x \right)} + 2 x \cos{\left(2 x \right)}\right)\, dx$$$.