Question

Am I doing this integral problem correctly?

Answer 1

integral x+2 and integral e^x

x+2 = e^x when x = 1.14619
x^2/2 + 2x and e^x

\[\int\limits_{0}^{1.14619}\] x^2/2 + 2x - \[\int\limits_{0}^{1.14619}\] e^x

I'm getting a negative number as a result.

Answer 2

so find where the the functions meet. suppose they meet at some 't'

now integrate both functions from 0 to t. The values will be the areas under their curves. Now deduct the two, and apply modulus if required to find out the area between the two curves (shaded region in the graph above, which is basically the region R).