Question

What is the area of the region bounded by the lines x=1 and y=0 and the curve y= x-e^x^2?


A. 1-e units squared
B. e-1 units squared
C. (e-1)/2 units squared
D. (1-e)/2 units squared
or E. e/2 units squared


if you can show me how to get that please

Answer 1

the area is not closed
the curve y = x - e^x^2 drops down leaving it open-ended for negative x's

did you mean x=0 as one of the boundaries.

the other major problem is to integrate

e^(x^2)
I don't have a method of doing that.