Question

Calculus help!

Answer 1

If \[\int\limits_{a}^{b}\] f(x) dx = a +2b then \[\int\limits_{a}^{b}\] (f(x) +5) dx = what?

Answer 2

\[\int_a^b 5 dx =5\times(b-a)\]

Answer 3

(a+2b+5b)-( a+2b+5a) = 5(b-a)

Answer 4

integral of a constant is the constant times the length of the path

Answer 5

so i guess your final answer is
\[a+2b+5(b-a)\] which you can probably clean up with some algebra