Leibniz Integral Rule Explained

[alijan kk]

1. The problem statement, a

ll variables and given/known data

Homework Equations

The Attempt at a Solution

what is t equal to here , how should i think it ?

 

[Greg Bernhardt]

Where have you tried to start? There must be something to give you a hint or clue.

 

[alijan kk]

Where have you tried to start? There must be something to give you a hint or clue.

i have been thinking about it ,,, tried many weird tricks ,, can you tell me a little about the variable t a little please..

 

[LCKurtz]

There is nothing special about $t$. It is just the variable of integration. What "weird tricks" have you tried? You have to show us what you have tried. What methods do you know to do integrals?
While I am at it, I should mention that it is impolite to start threads then abandon them, as you seem to have a habit of doing.

 

[alijan kk]

There is nothing special about $t$. It is just the variable of integration. What "weird tricks" have you tried? You have to show us what you have tried. What methods do you know to do integrals?
While I am at it, I should mention that it is impolite to start threads then abandon them, as you seem to have a habit of doing.

oh i am sorry ,, ok i am going to show what i have done

 

[alijan kk]

There is nothing special about $t$. It is just the variable of integration. What "weird tricks" have you tried? You have to show us what you have tried. What methods do you know to do integrals?
While I am at it, I should mention that it is impolite to start threads then abandon them, as you seem to have a habit of doing.

should i post it on "Mathematics" if i don't know how to start ?

 

[LCKurtz]

For one thing, you haven't given a complete statement of the problem. What are you asked to do with the given formula?

 

[alijan kk]

There is nothing special about $t$. It is just the variable of integration. What "weird tricks" have you tried? You have to show us what you have tried. What methods do you know to do integrals?
While I am at it, I should mention that it is impolite to start threads then abandon them, as you seem to have a habit of doing.

There is nothing special about $t$. It is just the variable of integration. What "weird tricks" have you tried? You have to show us what you have tried. What methods do you know to do integrals?
While I am at it, I should mention that it is impolite to start threads then abandon them, as you seem to have a habit of doing.

i have uploaded an other image , , and i have to find derivatives,, and i think it is based on the general definition of logarithms

 

[LCKurtz]

So now you have stated the question and posted the answer. If you are asking how that answer was obtained, look up Leibniz integral rule either online or in your textbook.

 

[alijan kk]

So now you have stated the question and posted the answer. If you are asking how that answer was obtained, look up Leibniz integral rule either online or in your textbook.

very helpful, thankyou again <3