Fundamental Theorem of Calculus Part 1

Question

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
y= the intergral from 1-3x to 3 of (u^3) / (1+u^2) du

Answer 1

Integrate sum of the term by term

Where s = 1+u^2

            ds = 2udu

Substitute s value

Apply limits

The solution is