There are two parts to this question. First, find if

The next part asks to Find if f satisfies the conditions (i) f is positive and continuous, and (ii) the area under the curve y = f(x) from x = 0 to x = a is:

I don't think I'm doing this correctly. Same error for both parts, I tried applying the fundamental thereom but end up having to deal with f(0) which is unknown.

For part one I so far have:

??

Anyone mind guiding me in the correct direction? Thanks! Know it's a lot to read.