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**Homework Statement**

Question One:

Find a continuous function f and a number a such that

[tex]2 + \int_{a}^{x} \frac {f(t)} {t^{6}} \,dt = 6 x^{-1}[/tex]

Question Two:

At what value of x does the local max of f(x) occur?

[tex]f(x) = \int_0^x \frac{ t^2 - 25 }{ 1+\cos^2(t)} dt[/tex]

**The attempt at a solution**

I just need some pointers of where to get started.

Question One:

So I used FTC1 on both sides,

[tex]2 + f(x) / x^{6} = 6x^{-1}[/tex]

[tex]f(x)= 6x^{5} - 2[/tex]

I'm not sure how to find a, evaluation theorem?

Question Two:

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