Please help with the questions on definite integrals.

[Haru]

Hello, I am Haru and I have difficulties to solve the following problem. It would be much appreciated if someone can help me. Sorry for asking so many questions. And wish you Merry Christmas.

Find the derivative of the this function: F(x)=∫ ((s^(2))/(2+6s^(4)))ds (which the lower bound (from): square root x and the upper bound (to): 1) by using the appropriate
form of the Fundamental Theorem of Calculus.

~ For this question, I do not know what does the appropriate form of the Fundamental Theorem of Calculus means and I am not very familiar with the Fundamental Theorem of Calculus.

 

[Deleted member 4993]

Hello, I am Haru and I have difficulties to solve the following problem. It would be much appreciated if someone can help me. Sorry for asking so many questions. And wish you Merry Christmas.

Find the derivative of the this function: F(x)=∫ ((s^(2))/(2+6s^(4)))ds (which the lower bound (from): square root x and the upper bound (to): 1) by using the appropriate
form of the Fundamental Theorem of Calculus.

~ For this question, I do not know what does the appropriate form of the Fundamental Theorem of Calculus means and I am not very familiar with the Fundamental Theorem of Calculus.

If you google the term "Fundamental Theorem of Calculus" - what do you get?

The first reference would be Fundamental theorem of calculus - Wikipedia.....https://en.wikipedia.org › wiki › Fundamental_theorem_of_calculus

Read that thoroughly. Come back to us if you do not understand some part of it (please point out exactly where you are getting lost).

If there is no problem, apply the theorem to your problem. Again if you are stuck somewhere - please tell us exactly where and we will unstuck you.