The area of the closed figure bounded by $x=-1, \, x=2$ and $y= -x^2+2, \, x\leq 1$ and $y= 2x-1 ,\, x>1$ and the abscissa axis is ;

Semicircles are drawn outside by taking every side of regular hexagon as a diameter. The ;perimeter of hexagon is 60 cm. Find the area of complete figure formed as such.($\pi$ = 3.14) ($\sqrt3$ = 1.73)

Area of the region bounded by $y=x-[x],\ y=[x]$ and $\mathrm{x}$-axis in $[$0,2 $]$ is:

Trapezoidal rule for evaluation of $\displaystyle\int _{ a }^{ b }{ f(x)dx }$ requires the interval $(a,b)$ to be divided into

$\mathrm{P(x)=\frac{x^{2}}{x^{4}+1} \text { এবং } Q(x)=x^{2}}$