It should be:
Fernando Revilla
Question. A function is defined by:
.
Find and show that .
I cannot get to the final number... I am making a mistake somewhere (or mistakes!) and I'd appreciate your feedback!
First, apply Leibniz Rule for differentiation under integral sign:
Then I deal with the first integral first: differentiate on t, and then integrate on x (using substitution ).
=
Adding the other two components from above, I get the final answer
and substituting , I get , but not the required .
It should be:
Fernando Revilla
Sorry?... Not sure why? and even if I try this sign combo I still cannot get to the final answer... 13 is hard to get, having only 2s )))
I think I put an extra (unnecessary) 2 in the intermediate differentiation under integral expression - 2s cancel each other out
Do you mean here, in the final sum, I need + not -?
Sorry, I looked to the complete formula, not to only to the integral (see line 3 below) .
You have found correctly :
So,
Fernando Revilla
P.S. Clearly there is a typo in your book.
For good measure, could you please check if the following exercise in using Leibniz Rule for functions involving exponential is correct? Again, I don't have answers in my study guide.
Question. A function is defined by .
Find
Answer.
=
Let me know if there are mistakes.
More easy: press the Thanks button.
Right.
Fernando Revilla