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## Homework Statement

Let

F(x) = integral from x to 1 ( [tex]3t^3 - x^2 t ) dt[/tex]

1. Calculate F'(x)

## The Attempt at a Solution

I know the answer is

x^3 + x.

However, I am not sure how it is obtained.

I know about implicit differentian, but I have never done implicit integration.

How can you solve the problem?