Question

I'm stuck on how to work through the reasoning of this one...

"Use part one of the Fundamental Theorem of Calculus to find the derivative of the following function: y = integral: [sqrt(t + (sqrt.t))dt], from 0 to tan(x).

Any and all help is greatly appreciated!

Answer 1

Here is the function, formatted better:
\[y = \int\limits_{0}^{\tan(x)}\sqrt{(t + \sqrt{t})}*dt\]

Answer 2

just process the derivative

\(\color{#0cbb34}{\text{Originally Posted by}}\) @amonoconnor
Here is the function, formatted better:
\[y = \int\limits_{0}^{\tan(x)}\sqrt{(t + \sqrt{t})}*dt\]
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 3

...what do you mean "just process the derivative"?
I set u = tan(x), but what's the inner function?

Answer 4

hey!

your task is to find the derivative of the underlying function.

**find the derivative of the following function: y = integral: [sqrt(t + (sqrt.t))dt], from 0 to tan(x).**