Verified answer

minimum point on y = e^x is at x=0 which is 1

and maximum point on y = cos (x) is at x=0 which is 1

so area between to curves is

area = area under (y = e^x) - area under (y = cos (x))

to find the area integrate both expressions with limits 0 to 1

which gives area under (y=e^x) = 1.7182

area under (y=cos(x)) = 0.8415

area between two curves = 1.7182 - 0.8415

= 0.8767 units^2

Graph Of Y Cos X

Integrate each equation the subtract the difference

Let Integral sign = S

S cos(x)dx

sin(x) from 0-1

sin(1)-sin(0) = sin(1)

S e^x dx

(e^x)/1 from 0-1

e^1 - e^0 = e -1

Use calculator to get values.

sin(1) = 0.84

e^1 - 1 = 2.72-1 = 1.72

Diff = 0.88