Find the integral int((-8r^2)/((b^2a^2+r^2)^3))dr

 Exercise

\int\left(\left(\frac{-8r^2}{\left(b^2a^2+r^2\right)^3}\right)\right)dr

\frac{3i^{7}\ln\left|\frac{\sqrt{-8r^2}+\sqrt{8b^2a^2}}{\sqrt{-8r^2-8b^2a^2}}\right|}{b^{3}a^{3}}+\frac{3\sqrt{-8r^2}\sqrt{8b^2a^2}i^{7}}{\left(-8r^2-8b^2a^2\right)b^{3}a^{3}}+\frac{2\sqrt{\left(-8r^2\right)^{3}}\sqrt{8b^2a^2}i^{7}}{\left(-8r^2-8b^2a^2\right)^{2}b^{3}a^{3}}+\frac{-4i^{7}\ln\left|\frac{v+\sqrt{8b^2a^2}}{\sqrt{v^{2}-8b^2a^2}}\right|}{b^{3}a^{3}}+\frac{-4v\sqrt{8b^2a^2}i^{7}}{\left(v^{2}-8b^2a^2\right)b^{3}a^{3}}+C_0

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