Question

Integral question!

Answer 1

Given that \[\int\limits_{1}^{3}e ^{x}dx=e ^{3}-e\] use the properties of integrals and this result to evaluate \[\int\limits_{1}^{3}(5e ^{x}-2)dx\]

Answer 2

without using derivatives

Answer 3

anti*

Answer 4

this is the same as 5int(e^x) - int(2)dx

Answer 5

\[
\int\limits_{1}^{3}(5e ^{x}-2)dx = 5\int\limits_{1}^{3}e ^xdx -
\int\limits_{1}^{3}2dx = 5(e^3-e) - 2(3-1) = ?
\]

Answer 6

i think thats the part i am stuck on how'd you get 5(e^3-e), etc.?

Answer 7

It is given. Look at your very first reply.

Answer 8

wow, i'm clearly out of it right now... I think I understand it better, thank you!!!

Answer 9

You are welcome.