Conceptual integral shift/translation.

[CandyApples]

Homework Statement

Given that the integral of g(u)du on the interval [0.2] is 12, what is g(2-u)du on the interval [0,2]

Homework Equations

f on [a,b] is F(b) - F(a).

The Attempt at a Solution

Switching from positive to negative t flips the limits to [2,0]. This would yield -12 instead of 12. F(2) on 0,2 would just be 4. The answer of -8, however is not correct. Have I violated order of operations or am I missing a concept?

 

[tiny-tim]

Welcome to PF!

Hi CandyApples! Welcome to PF!

(have an integral: ∫ )

Homework Statement

Given that the integral of g(u)du on the interval [0.2] is 12, what is g(2-u)du on the interval [0,2]

I'm not sure what you've done.

Put v = 2 - u, and rewrite du and the limits …

what do you get?