Solving Integral 0 to 3 f(3t)dt Given Question Info

[sapiental]

There was a question on my quiz today that went something like this

the integral 0 to 5 f(x)dx = 7, the integral 1 to 5 f(x)dx = 3

given this information, solve the integral 0 to 3 f(3t)dt.

I had no idea how to do it... How can I compute f(3t)dt given this information? or does the t = x?

Thanks

 

[radou]

Think of what kind of function f(3t) is. Try to compare it with the function f(x).