Question

please help me, I really can't understand this question. f(x)\[\int\limits_{x}^{0}\sqrt{dt/t^{3}-t ^{2}} dt \] what is f'(x)

Answer 1

f(x)\[\int\limits_{0}^{x}\sqrt{dt/t^{3}-t ^{2}} dt \] what is f'(x)

Answer 2

I believe you can solve this using the first fundamental thrm of calculus.

Answer 3

I'm not sure how to apply the theorem with a variable as a limit

Answer 4

what do I do with the dt in the numerator?

Answer 5

What is that!!!?

Answer 6

it is a typo is my guess

Answer 7

the dt? definitely not a typo.

Answer 8

figured it out, it wasn't a typo you're just supposed to replace the dt with 1. thanks, all.

Answer 9

\[f(x)=\int_0^x\sqrt{\frac{dt}{t^3-t^2}}dt\] is definitely a typo