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

Find function f(x) and constant a such that,

6+ integral f(t)/t^2 dt = 2x

limits are a to x

2. Relevant equations

I think I am on the right track could someone check this?

3. The attempt at a solution

if x = a then the integral will = 0,

6 = 2a, a = 3 limits now are 3 to x,

now,

6 + integral f(x)/x^2 dx = 2x, fundamental theorem

6 + f(x)/x^2 = 2 => 6 + f(x)= 2x^2 => f(x)= 2x^2 - 6

Thanks!

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# Homework Help: Fundemental theorem of Calc. question?

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