Integral of $$$- 2 a \left(\left(9 - x^{2}\right)^{2} - \left(x + 7\right)^{2}\right) + 1$$$ with respect to $$$x$$$
The calculator will find the integral/antiderivative of $$$- 2 a \left(\left(9 - x^{2}\right)^{2} - \left(x + 7\right)^{2}\right) + 1$$$ with respect to $$$x$$$, with steps shown.
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Find $$$\int \left(- 2 a \left(\left(9 - x^{2}\right)^{2} - \left(x + 7\right)^{2}\right) + 1\right)\, dx$$$.