Let k be a positive constant number. Denote α, β (0<β<α) the x coordinates of the curve C: y\equal{}kx^2\ (x\geq 0) and two lines l: y\equal{}kx\plus{}\frac{1}{k},\ m: y\equal{}\minus{}kx\plus{}\frac{1}{k}. Find the minimum area of the part bounded by the curve C and two lines l, m. calculusintegrationanalytic geometrygeometrycalculus computations