Simply plot the graph x^4 intersect 2x^2 at 0 and +root 2 and -root 2 so the area bouded by the curve will be max when either a=root2 and b is inf or b=-inf and a is -root 2
for algebric soln differentiat
[ a][b ] (X4 -2X 2)dx. with respect to a and b separatly and apply maxima minima separetly to get appropriate value of a,b separately
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[b ] (X4 -2X 2)dx. with respect to a and b separatly and apply maxima minima separetly to get appropriate value of a,b separately 
