Questions in indefinite-integration

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$\int_{{}}^{{}}{\frac{1+\tan x}{x+\log \sec x}\ dx=}$
$\int_{{}}^{{}}{\frac{(x+1){{(x+\log x)}^{2}}}{x}dx=}$
$\int_{{}}^{{}}{\frac{1+{{x}^{2}}}{\sqrt{1-{{x}^{2}}}}dx=}$
$\int_{{}}^{{}}{\frac{\cos x-\sin x}{1+\sin 2x}\ dx=}$
$\int_{{}}^{{}}{{{x}^{3}}\sqrt{3+5{{x}^{4}}}}\ dx=$
$\int_{{}}^{{}}{\sqrt{\frac{x}{{{a}^{3}}-{{x}^{3}}}}\ dx=}$
$\int_{{}}^{{}}{\frac{1}{x{{\cos }^{2}}(1+\log x)}\ dx=}$
$\int_{{}}^{{}}{\frac{1}{{{x}^{2}}\sqrt{1+{{x}^{2}}}}}\ dx=$
$\int_{{}}^{{}}{\frac{1}{({{x}^{2}}-1)\sqrt{{{x}^{2}}+1}}}\ dx=$
$\int_{{}}^{{}}{\frac{\log (x+\sqrt{1+{{x}^{2}}})}{\sqrt{1+{{x}^{2}}}}\ dx=}$

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