$\int_{{}}^{{}}{\frac{1}{({{x}^{2}}+{{a}^{2}})({{x}^{2}}+{{b}^{2}})}dx=}$

Question

Accepted Answer

$\frac{1}{({{a}^{2}}-{{b}^{2}})}\left[ \frac{1}{b}{{	an }^{-1}}\left( \frac{x}{b} ight)-\frac{1}{a}{{	an }^{-1}}\left( \frac{x}{a} ight) ight]+c$

Answer

$\frac{1}{({{b}^{2}}-{{a}^{2}})}\left[ \frac{1}{b}{{	an }^{-1}}\left( \frac{x}{b} ight)-\frac{1}{a}{{	an }^{-1}}\left( \frac{x}{a} ight) ight]+c$

Answer

$\frac{1}{b}{{	an }^{-1}}\left( \frac{x}{b} ight)-\frac{1}{a}{{	an }^{-1}}\left( \frac{x}{a} ight)+c$

Answer

$\frac{1}{a}{{	an }^{-1}}\left( \frac{x}{a} ight)-\frac{1}{b}{{	an }^{-1}}\left( \frac{x}{b} ight)+c$

indefinite-integration