Question

Find the area of the region under y=e^x and above y=1 for 0 less than equal to x less than equal to 5.

Answer 1

Calculus huh? k, you need the definite integral of the function on top minus the function on bottom from 0 to 5 so...\[\int\limits_{0}^{5}e^x-1\]

Answer 2

Do you take the antiderivatives of those?

Answer 3

make sure the function dont cross at some point; in this case they remain separate tho

Answer 4

and yes, integration is the word you use most after learning what an antiderivative is

Answer 5

so it would be e^5-5

Answer 6

-e^0

Answer 7

(e^5-5)-(e^0-0) = e^5-5-1 = e^5-6

Answer 8

THANKS!!!