Find the area between the two curves f(x)=1/(x+2) and g(x)=ex over the interval [0,1] ó1 ô(yupper green curve - ylower red curve)dx õ0 ó1 ô[g(x) - f(x)]dx = õ0 ó ô[ex - 1/(x+2)]dx õ |1 ex - ln|x+2| | = [e1 - ln|1+2|]-[e0 - ln|0+2|] = |0 [e - ln(3)] - [1 - ln(2)] = e - ln(3) - 1 + ln(2) = ln(2) - ln(3) + e - 1 = ln(2/3) + e - 1 = 1.31281672 Edwin
