Questions in definite-integral

Select	Question
	Area bounded by the curve $y=x{{e}^{{{x}^{2}}}},$ $x-$axis and the ordinates $x=0,\,\,x=a$
	Area bounded by the curve $y=\sin x$ between $x=0$ and $x=2\pi $ is
	Area bounded by the parabola $y=4{{x}^{2}},$ $y-$axis and the lines $y=1,\,\,y=4$ is
	Area bounded by the lines $y=x,\,\,x=-1,\,\,x=2$ and $x-$axis is
	If the ordinate $x=a$ divides the area bounded by the curve $y=\left( 1+\frac{8}{{{x}^{2}}} \right)\,,$ $x-$axis and the ordinates $x=2,$ $x=4$ into two equal parts, then $a=$
	Area between the curve $y=\cos x$ and $x-$axis when $0\le x$ is
	Area bounded by curve $y={{x}^{3}},$ $x-$axis and ordinates $x=1$ and $x=4,$ is
	Area bounded by curve $xy=c,$ $x-$axis between $x=1$ and $x=4,$ is
	Area bounded by curve $y=k\sin x$between $x=\pi $ and $x=2\pi ,$ is
	Area bounded by $y=x\sin x$ and $x-$axis between $x=0$ and $x=2\pi ,$ is