Questions in indefinite-integration

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$\int_{{}}^{{}}{\frac{dx}{5+4\cos x}=}$
$\int_{{}}^{{}}{\frac{1}{({{x}^{2}}+{{a}^{2}})({{x}^{2}}+{{b}^{2}})}dx=}$
$\int_{{}}^{{}}{\frac{1}{1+{{\cos }^{2}}x}dx}=$
$\int_{{}}^{{}}{\frac{dx}{1+3{{\sin }^{2}}x}=}$
$\int_{{}}^{{}}{\frac{dx}{2{{x}^{2}}+x+1}}\ $equals
$\int{\frac{dx}{7+5\cos x}=}$
$\int{\frac{dx}{{{x}^{2}}+4x+13}}$ is equal to
$\int_{{}}^{{}}{\frac{dx}{\cos x-\sin x}}$ is equal to
$\int_{{}}^{{}}{\frac{dx}{{{x}^{2}}+2x+2}=}$
$\int_{{}}^{{}}{\frac{3\sin x+2\cos x}{3\cos x+2\sin x}\ dx=}$

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