If the integral of f(x-c)dx = 11 from 3 to 5, then the integral of f(x)dx from 3-c to 5-c is?
I will write the equation w/ teh equation box

Question

If the integral of f(x-c)dx = 11 from 3 to 5, then the integral of f(x)dx from 3-c to 5-c is? 
I will write the equation w/ teh equation box

anonymous · Answer

$$If \int\limits_{3}^{5} f(x-c) dx = 11$$
then, $$\int\limits_{3-c}^{5-c} f(X) dx = ?$$

zarkon · Answer

do a simple substitution

anonymous · Answer

wat do u mean? wat shud i subsititute

zarkon · Answer

u=x-c

anonymous · Answer

so then du =1?

zarkon · Answer

du=dx

anonymous · Answer

then wat?

zarkon · Answer

have you done u-substitution before?

anonymous · Answer

yea but im still confused

zarkon · Answer

u(x)=x-c

$$\int\limits_{3}^{5}f(x-c)dx=\int\limits_{u(3)}^{u(5)}f(u)du=\cdots$$

anonymous · Answer

is it 5-c - (3-c) = 2 - 2c

anonymous · Answer

can u help me continue teh problem??

zarkon · Answer

$$11=\int\limits_{3}^{5}f(x-c)dx=\int\limits_{u(3)}^{u(5)}f(u)du=\int\limits_{3-c}^{5-c}f(u)du$$

anonymous · Answer

so the expression integral of f(x) dx from 3-c to 5 - c is 11?

zarkon · Answer

yes

anonymous · Answer

so there is no other number value for teh asnwer?

anonymous · Answer

its just to prove that the 2 expressions are equal

zarkon · Answer

they are equal

anonymous · Answer

but i dont understand i thought wen u integrate an expression u are supposed to get smthg.

zarkon · Answer

? ...  you did ...  it is 11

anonymous · Answer

oh ok i guess i was jsut confused about wat teh question was aking...sorry XD