Having difficulties solving the following question part c.

Q15

a)sketch the curve of e^x+2

b)Find the equation of the tangent at x=-2. I worked this out to be y=x+3

c)find the area between the curve, tangent and y axis.

-i Know that the tangent equation x+3 and e^x+2 intersect at x=-2 and that the area bounded by the y axis should be between the two functions y intercepts which are 3 and e^2.