Question
Sketch the region and find its area.
S = {(x,y) | x > -6, 0 < y < e-x/2}
S = {(x,y) | x > -6, 0 < y < e-x/2}
Answers
Reiny
area = âĞe^(-x/2) dx from x = -6 to â
= [-2 e^(-x/2) ] from -6 to â
= 0 - (-2e^3)
= 2e^3
note: as x ---> â , e^(-huge) = 1/e^huge ---> 0
= [-2 e^(-x/2) ] from -6 to â
= 0 - (-2e^3)
= 2e^3
note: as x ---> â , e^(-huge) = 1/e^huge ---> 0