Evaluate the definite integral K= _ 0 ^ 3 2x-4 ,e^ (2x-4)^ 2 ,dx.

MATHEMATICS · Multi-part · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Evaluate the definite integral

K=\int_{0}^{3} \lvert 2x-4\rvert\,e^{(2x-4)^{2}}\,dx.

(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