Find the positive value of k such that the area of the region enclosed between the graph y=kcosx and the graph y=kx^2 is 2

Both these graphs will pass through the origin so you need to work out the difference in areas by integrating

INtegral k cos x (between the limits 0 and a) - Intgral kx^2 (between 0 and a) = 2

Find k

(where a is the value of x on positive side of the graph where the 2 curves intersect)