Application of Integrals

Let $$O\left( {0,0} \right)\,A\left( {2,0} \right)\,and\,B\left( {1,\frac{1}{{\sqrt 3 }}} \right)$$ be the vertices of a triangle. Let $$R$$ be the region consisting of all those points $$p$$ inside $$\Delta QAB$$ which satisfy $$d,(P,OA)  \le$$ min $$\left\{ {d(\left( {P,OB} \right),d\left( {P,AB} \right)\left. ) \right\}} \right.$$ when $$'d'$$ denotes the distance from the point to the corresponding line. Then the area of the region $$R$$ is $$\sqrt a  - \sqrt {b} $$ then $$a+b=$$
Area common to the curves $${ y }^{ 2 }$$=ax and $${ x }^{ 2 }$$+$${ y }^{ 2 }$$$$= 4ax$$ is equal to 
The area bounded by the curve $$y=\cos\,x$$, the line joining $$\left(-\dfrac{\pi}{4},\cos\left(-\dfrac{\pi}{4}\right)\right)$$ and $$(0,2)$$ and the line Joining $$\left(\dfrac{\pi}{4},\cos\left(\dfrac{\pi}{4}\right)\right)$$ and $$(0,2)$$ is 
The areas $${S}_{1},{S}_{2},{S}_{3}$$ bounded by $$x-$$axis and half waves of the curves $$y={e}^{-ax}\sin{\beta x},x\ge 0$$ from left to right then:
What is the area bounded by the curve $${y}^{2}=4x$$ and the double ordinate $$x=1$$?