Use part 1 of the fundamental theorem of calculus to find the derivative of the function. g(x) = 7x u2 − 1 u2 + 1 du 6x hint: 7x f(u) du 6x = 0 f(u) du 6x + 7x f(u) du 0

It looks like you're given

Then by the additivity of definite integrals this is the same as

(presumably this is what the hint suggests to use)

Then by the fundamental theorem of calculus, we have

so, converting firstly the mixed fractions to improper fractions and then "adding".