Please find the area between the xaxis and fx over each of t

Please find the area between the x-axis and f(x) over each of the given intervals. (All the areas are above therefore you do not need to consider the sigh.) f(x) = 1 +e-x;[0,4]

Solution

1.)f(x) = 1+ e^-x area enclosed with x-axis is the integration of the function f(x) within the limits [0,4] integration of the function = x- e^-x limits from [0,4] = 4 - e^-4 -(0-1) = 5 - e^-4 = 4.981 2.) integration of the function (2x+3)^6 = {(2x+3)^7}/7 x (1/2) limits from [-1.5,0] = 156.21