M merve New member Joined Nov 2, 2010 Messages 10 Dec 10, 2010 #1 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= ?
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= ?
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Dec 10, 2010 #2 You could consider \(\displaystyle \frac{d}{dx}\int_{a}^{g(x)}f(t)dt=f(g(x))g'(x)\)
M merve New member Joined Nov 2, 2010 Messages 10 Dec 10, 2010 #3 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.
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.
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Dec 10, 2010 #5 What did you get?. Something around \(\displaystyle f(t)=t^{5}, \;\ a=1\)
