Questions in indefinite-integration

Select	Question
	$\int_{{}}^{{}}{\log (x+1)dx=}$
	If $\int_{{}}^{{}}{\ln ({{x}^{2}}+x)dx=x\ln ({{x}^{2}}+x)+A}$, then $A=$
	$\int_{{}}^{{}}{{{x}^{2}}\sin 2x}\ dx=$
	$\int_{{}}^{{}}{\log xdx=}$
	$\int_{{}}^{{}}{{{\log }_{10}}x\ dx=}$
	$\int_{{}}^{{}}{\frac{1}{{{\log }_{x}}e}dx=}$
	If $\int_{{}}^{{}}{{{e}^{x}}\sin x\ dx=\frac{1}{2}{{e}^{x}}\ .\ a+c}$, then $a=$
	$\int_{{}}^{{}}{{{x}^{n}}\log x\ dx=}$
	$\int_{{}}^{{}}{\log x(\log x+2)\ dx=}$
	$\int_{{}}^{{}}{\left[ \frac{1}{\log x}-\frac{1}{{{(\log x)}^{2}}} \right]dx=}$