$y=x^{3}$ বক্ররেখা, $x$-অক্ষ এবং $\mathrm{y} \doteq 0, \mathrm{x}=1^{\circ}$ ও $x=3$ সরল রেখা তিনটি দ্বারা সীমাবদ্ধ ক্ষেত্রের ক্ষেত্রফল নির্ণয় কর।

$Letf(x)={ sin }^{ -1 }(sin\quad x)+{ cos }^{ -1 }(\quad cos\quad x),\quad g(x)=mx\quad and\quad h(x)=x\quad$ are three functions. Now g(x) is divided area between f(x),x=$\pi$ and y=0 into two equal parts.

The area bounded by the curve y=f(x), x=$\pi$ and y=0 is:

Area of the region bounded by $x=|y+4|$ and $\mathrm{y}$ axis is sq. units

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)

The area ehclosed by the curves y = f(x) and ; y =g(x), where f(x) = max ${x , x^2}$ and g(x) = min ${x, x^2}$ opver the interval [0,1] is& ;