Evaluate the definite integral
K=∫03∣2x−4∣e(2x−4)2dx.
(a) Rewrite K as the sum of two integrals over subintervals on which 2x−4 keeps a constant sign.
(b) Compute the exact value of K, clearly indicating any changes to the limits of integration that you make.
(a) Express K as the sum of two separate integrals with appropriate limits.
(b) Evaluate each integral from part (a) and find the exact value of K.