Need help with using Leibniz's Rule

[Astro]

I tried solving this question but I'm not getting the correct answer and I don't know what I'm doing wrong. Can anyone tell me what I did wrong? Thank you.

The math question is:
Let g(x) = d/dx (∫^x2₁ e^t/t dt), then g'(2) is ____?

The correct answer is e⁴ but I'm getting 7e⁴/2. (See my solution attempt in the attached PDF file.)

 

[Samy_A]

I get the same result as you. Maybe we made the same mistake, or maybe the question was to find $g(2)$.

 

[Astro]

I get the same result as you. Maybe we made the same mistake, or maybe the question was to find $g(2)$.

Thank you for your reply.
The sample question specifically asks for g'(2) but what you say seems to make sense.
(Although, that would be a he** of a mistake on the part of the school since it's the one of last year's exam questions. :/ )

 

[Samy_A]

Thank you for your reply.
The sample question specifically asks for g'(2) but what you say seems to make sense.
(Although, that would be a he** of a mistake on the part of the school since it's the one of last year's exam questions. :/ )

Well, everybody can make mistakes. Maybe we did, maybe the school did. Let's wait for others to check the computation.

 

[Haborix]

If you let g(x) be the integral only. Then the derivative of g(x) at x=2 is e^4. Probably transcription error somewhere.