It should be:
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 .
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 -?
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 .
Let me know if there are mistakes.