Help me please! Calculus - Theorem

Question

Given  , find G '(x). 

Options:

1. ln(2x+1)
2. ln(2x+1) - ln3
3. ln(2t+1) + C
4. 

Answer 1

According to the Fundamental Theorem of Calculus, If F(x) = ∫_{(from a to x)} f(t)dt, where a is a constant, then F'(x) = f(x).

So, for G(x) = ∫_{(1 to x)}ln(2t + 1) dt, G'(x) = ln(2x + 1).