Questions in definite-integral

Select	Question
	The area of the region bounded by the $x-$axis and the curves defined by $y=\tan x,\,(-\pi /3\le x\le \pi /3)$ is
	If a curve $y=a\sqrt{x}+bx$ passes through the point (1, 2) and the area bounded by the curve, line $x=4$ and x-axis is 8 sq. unit, then
	If the area above the x-axis, bounded by the curves $y={{2}^{kx}}$ and $x=0$ and $x=2$ is $\frac{3}{\ln 2},$ then the value of k is
	The area bounded by the x-axis, the curve $y=f(x)$ and the lines $x=1,\,x=b$ is equal to $\sqrt{{{b}^{2}}+1}-\sqrt{2}$ for all b > 1, then $f(x)$ is
	The area bounded by the curve $y=f(x)$, x-axis and ordinates x = 1 and $x=b$is $\frac{5}{24}\pi $, then $f(x)$ is
	The area of the region (in the square unit) bounded by the curve ${{x}^{2}}=4y,$ line $x=2$ and x-axis is
	Area under the curve $y={{x}^{2}}-4x$within the x-axis and the line $x=2$, is
	Area bounded by the curve $xy-3x-2y-10=0,$x-axis and the lines $x=3,x=4$is
	The area bounded by curve ${{y}^{2}}=x,$ line $y=4$ and y-axis is
	The measurement of the area bounded by the co-ordinate axes and the curve $y={{\log }_{e}}x$ is