1. ## Integration Help

Can someone help me with this question:

Find a continuous function f and a number a such that:

2. $1 + \int_{a}^x \frac{f(t)}{t^5}\ dt = 4x^{-1} \qquad {\color{red}\star}$

Differentiate both sides (the left hand side of course using one of the Fundamental Theorems of Calculus) to get: $\frac{f(x)}{x^5} = -4x^{-2}$

Solve for $f(x)$.

Now go back to ${\color{red}\star}$ and substitute in $f(t)$ now that we know what $f$ is.

3. I'm sorry, it's difficult to read your attachment op my screen. Are the bounds of integration "H" and "A"?

4. The lower bound is $a$ and the upper bound is $x$.