can you help me with this question?

[merve]

Find a function f and a number a such that
$\displaystyle \int_{a}^{x} \frac {f(t)} {t^{7}} dt = 6 x^{-1}$

f(x) = ?
a= ?

 

[galactus]

You could consider $\displaystyle \frac{d}{dx}\int_{a}^{g(x)}f(t)dt=f(g(x))g'(x)$

 

[merve]

can you post the exact result? cause I have found it -6x^(-9) but it says that it is wrong.
I have to do it true.

 

[merve]

I have just found it, thank you

 

[galactus]

What did you get?. Something around $\displaystyle f(t)=t^{5}, \;\ a=1$