(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

if f is a continuous function, find the value of the integral

I = definte integral int [ f(x) / f(x) + f(a-x) ] dx from 0 to a. by making the substitution u = a - x and adding the resulting integral to I.

this is one of the last questions in the thomas international edition calculus on substitution, for the life of me i cant see how to do this, a pointer on where to attack this would be very helpful, as i cant let it go!!!!

2. Relevant equations

3. The attempt at a solution

ive obviously used the substitution which was in the question, but it doesnt really help, as when i change the variable, the resulting integral is just as bad, and i dont know how adding it to the I helps, i substituted f(x) = x, into the integral and got the answer a/2, but i cant repeat it for any other random functions. I believe a/2 is the right answer but how i got it was not the right method. help

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# Homework Help: Problems with a question

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