Calendar: 1865-1866 Page 532

034 GENERAL LITERATURE AND SCIENCE If be tlie area of curve show that Find the area of the curve if χ Ία2 2a χ between the limits of χ and χ And of the curve r2 a2 cos Lemniscata between the values -4 and θ Find the area included between the parabola y2 χ and the circle y2 2ax x2 Find the radii of curvature to aea and cos If aemx sin prove that -j- -- m1 n2 ia dx 10 Integrate the following differentials- 2dx dx -1 11 Integrate sin3 cos2 θ and r3 log ג dx 12 Show that x2 J2ax x2 dx ni' fr from λ to ar 13 And that sec4 β id from to 14 Find the volume of the solid generated by the revo- lution of cycloid round its base and the surface of an oblate spheroid